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Finding the Third Proportional to 62,509 and 93,770

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Solution

The third proportional to 62,509 and 93,770 is: 140,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,509 : 93,770 = 93,770 : x
  2. Step 2: Convert to fraction form
    62,509/93,770 = 93,770/x
  3. Step 3: Cross multiply
    62,509x = 93,770 × 93,770
  4. Step 4: Simplify right side
    62,509x = 8,792,812,900
  5. Step 5: Solve for x
    x = 8,792,812,900/62,509
  6. Step 6: Final answer
    x = 140,664.75

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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.