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Finding the Third Proportional to 52,581 and 79,499

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Solution

The third proportional to 52,581 and 79,499 is: 120,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581 : 79,499 = 79,499 : x
  2. Step 2: Convert to fraction form
    52,581/79,499 = 79,499/x
  3. Step 3: Cross multiply
    52,581x = 79,499 × 79,499
  4. Step 4: Simplify right side
    52,581x = 6,320,091,001
  5. Step 5: Solve for x
    x = 6,320,091,001/52,581
  6. Step 6: Final answer
    x = 120,197.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.