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Finding the Third Proportional to 58,542 and 138,151.50

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Solution

The third proportional to 58,542 and 138,151.50 is: 326,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,542 : 138,151.50 = 138,151.50 : x
  2. Step 2: Convert to fraction form
    58,542/138,151.50 = 138,151.50/x
  3. Step 3: Cross multiply
    58,542x = 138,151.50 × 138,151.50
  4. Step 4: Simplify right side
    58,542x = 19,085,836,952.25
  5. Step 5: Solve for x
    x = 19,085,836,952.25/58,542
  6. Step 6: Final answer
    x = 326,019.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.