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Finding the Third Proportional to 65,772 and 93,069

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Solution

The third proportional to 65,772 and 93,069 is: 131,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 93,069 = 93,069 : x
  2. Step 2: Convert to fraction form
    65,772/93,069 = 93,069/x
  3. Step 3: Cross multiply
    65,772x = 93,069 × 93,069
  4. Step 4: Simplify right side
    65,772x = 8,661,838,761
  5. Step 5: Solve for x
    x = 8,661,838,761/65,772
  6. Step 6: Final answer
    x = 131,694.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.