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Finding the Third Proportional to 52,562 and 79,387

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Solution

The third proportional to 52,562 and 79,387 is: 119,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,562 : 79,387 = 79,387 : x
  2. Step 2: Convert to fraction form
    52,562/79,387 = 79,387/x
  3. Step 3: Cross multiply
    52,562x = 79,387 × 79,387
  4. Step 4: Simplify right side
    52,562x = 6,302,295,769
  5. Step 5: Solve for x
    x = 6,302,295,769/52,562
  6. Step 6: Final answer
    x = 119,902.13

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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.