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Finding the Third Proportional to 52,792 and 77,460

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Solution

The third proportional to 52,792 and 77,460 is: 113,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,792 : 77,460 = 77,460 : x
  2. Step 2: Convert to fraction form
    52,792/77,460 = 77,460/x
  3. Step 3: Cross multiply
    52,792x = 77,460 × 77,460
  4. Step 4: Simplify right side
    52,792x = 6,000,051,600
  5. Step 5: Solve for x
    x = 6,000,051,600/52,792
  6. Step 6: Final answer
    x = 113,654.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.