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Finding the Third Proportional to 126,064.50 and 273,130.50

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Solution

The third proportional to 126,064.50 and 273,130.50 is: 591,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,064.50 : 273,130.50 = 273,130.50 : x
  2. Step 2: Convert to fraction form
    126,064.50/273,130.50 = 273,130.50/x
  3. Step 3: Cross multiply
    126,064.50x = 273,130.50 × 273,130.50
  4. Step 4: Simplify right side
    126,064.50x = 74,600,270,030.25
  5. Step 5: Solve for x
    x = 74,600,270,030.25/126,064.50
  6. Step 6: Final answer
    x = 591,762.71

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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.