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Finding the Third Proportional to 52,860 and 72,486

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Solution

The third proportional to 52,860 and 72,486 is: 99,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,860 : 72,486 = 72,486 : x
  2. Step 2: Convert to fraction form
    52,860/72,486 = 72,486/x
  3. Step 3: Cross multiply
    52,860x = 72,486 × 72,486
  4. Step 4: Simplify right side
    52,860x = 5,254,220,196
  5. Step 5: Solve for x
    x = 5,254,220,196/52,860
  6. Step 6: Final answer
    x = 99,398.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.