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Finding the Third Proportional to 126,064.48 and 273,129.47

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Solution

The third proportional to 126,064.48 and 273,129.47 is: 591,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,064.48 : 273,129.47 = 273,129.47 : x
  2. Step 2: Convert to fraction form
    126,064.48/273,129.47 = 273,129.47/x
  3. Step 3: Cross multiply
    126,064.48x = 273,129.47 × 273,129.47
  4. Step 4: Simplify right side
    126,064.48x = 74,599,706,699.66
  5. Step 5: Solve for x
    x = 74,599,706,699.66/126,064.48
  6. Step 6: Final answer
    x = 591,758.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.