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Finding the Third Proportional to 62,508 and 134,857.50

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Solution

The third proportional to 62,508 and 134,857.50 is: 290,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,508 : 134,857.50 = 134,857.50 : x
  2. Step 2: Convert to fraction form
    62,508/134,857.50 = 134,857.50/x
  3. Step 3: Cross multiply
    62,508x = 134,857.50 × 134,857.50
  4. Step 4: Simplify right side
    62,508x = 18,186,545,306.25
  5. Step 5: Solve for x
    x = 18,186,545,306.25/62,508
  6. Step 6: Final answer
    x = 290,947.48

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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.