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Finding the Third Proportional to 62,508 and 93,769.50

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Solution

The third proportional to 62,508 and 93,769.50 is: 140,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,508 : 93,769.50 = 93,769.50 : x
  2. Step 2: Convert to fraction form
    62,508/93,769.50 = 93,769.50/x
  3. Step 3: Cross multiply
    62,508x = 93,769.50 × 93,769.50
  4. Step 4: Simplify right side
    62,508x = 8,792,719,130.25
  5. Step 5: Solve for x
    x = 8,792,719,130.25/62,508
  6. Step 6: Final answer
    x = 140,665.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.