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Finding the Third Proportional to 58,525.88 and 126,270.38

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Solution

The third proportional to 58,525.88 and 126,270.38 is: 272,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,525.88 : 126,270.38 = 126,270.38 : x
  2. Step 2: Convert to fraction form
    58,525.88/126,270.38 = 126,270.38/x
  3. Step 3: Cross multiply
    58,525.88x = 126,270.38 × 126,270.38
  4. Step 4: Simplify right side
    58,525.88x = 15,944,207,602.64
  5. Step 5: Solve for x
    x = 15,944,207,602.64/58,525.88
  6. Step 6: Final answer
    x = 272,430.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.