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Finding the Third Proportional to 52,514 and 83,534

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Solution

The third proportional to 52,514 and 83,534 is: 132,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514 : 83,534 = 83,534 : x
  2. Step 2: Convert to fraction form
    52,514/83,534 = 83,534/x
  3. Step 3: Cross multiply
    52,514x = 83,534 × 83,534
  4. Step 4: Simplify right side
    52,514x = 6,977,929,156
  5. Step 5: Solve for x
    x = 6,977,929,156/52,514
  6. Step 6: Final answer
    x = 132,877.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.