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Finding the Third Proportional to 52,514 and 78,588

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Solution

The third proportional to 52,514 and 78,588 is: 117,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514 : 78,588 = 78,588 : x
  2. Step 2: Convert to fraction form
    52,514/78,588 = 78,588/x
  3. Step 3: Cross multiply
    52,514x = 78,588 × 78,588
  4. Step 4: Simplify right side
    52,514x = 6,176,073,744
  5. Step 5: Solve for x
    x = 6,176,073,744/52,514
  6. Step 6: Final answer
    x = 117,608.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.