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Finding the Third Proportional to 52,049 and 82,337

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Solution

The third proportional to 52,049 and 82,337 is: 130,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049 : 82,337 = 82,337 : x
  2. Step 2: Convert to fraction form
    52,049/82,337 = 82,337/x
  3. Step 3: Cross multiply
    52,049x = 82,337 × 82,337
  4. Step 4: Simplify right side
    52,049x = 6,779,381,569
  5. Step 5: Solve for x
    x = 6,779,381,569/52,049
  6. Step 6: Final answer
    x = 130,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.