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Finding the Third Proportional to 58,782 and 85,711

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Solution

The third proportional to 58,782 and 85,711 is: 124,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,782 : 85,711 = 85,711 : x
  2. Step 2: Convert to fraction form
    58,782/85,711 = 85,711/x
  3. Step 3: Cross multiply
    58,782x = 85,711 × 85,711
  4. Step 4: Simplify right side
    58,782x = 7,346,375,521
  5. Step 5: Solve for x
    x = 7,346,375,521/58,782
  6. Step 6: Final answer
    x = 124,976.62

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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.