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Finding the Third Proportional to 58,471 and 85,519

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Solution

The third proportional to 58,471 and 85,519 is: 125,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471 : 85,519 = 85,519 : x
  2. Step 2: Convert to fraction form
    58,471/85,519 = 85,519/x
  3. Step 3: Cross multiply
    58,471x = 85,519 × 85,519
  4. Step 4: Simplify right side
    58,471x = 7,313,499,361
  5. Step 5: Solve for x
    x = 7,313,499,361/58,471
  6. Step 6: Final answer
    x = 125,079.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.