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Finding the Third Proportional to 53,792 and 83,565

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Solution

The third proportional to 53,792 and 83,565 is: 129,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,792 : 83,565 = 83,565 : x
  2. Step 2: Convert to fraction form
    53,792/83,565 = 83,565/x
  3. Step 3: Cross multiply
    53,792x = 83,565 × 83,565
  4. Step 4: Simplify right side
    53,792x = 6,983,109,225
  5. Step 5: Solve for x
    x = 6,983,109,225/53,792
  6. Step 6: Final answer
    x = 129,816.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.