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Finding the Third Proportional to 53,542 and 83,280

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Solution

The third proportional to 53,542 and 83,280 is: 129,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542 : 83,280 = 83,280 : x
  2. Step 2: Convert to fraction form
    53,542/83,280 = 83,280/x
  3. Step 3: Cross multiply
    53,542x = 83,280 × 83,280
  4. Step 4: Simplify right side
    53,542x = 6,935,558,400
  5. Step 5: Solve for x
    x = 6,935,558,400/53,542
  6. Step 6: Final answer
    x = 129,534.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.