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Finding the Third Proportional to 58,416 and 91,517

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Solution

The third proportional to 58,416 and 91,517 is: 143,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,416 : 91,517 = 91,517 : x
  2. Step 2: Convert to fraction form
    58,416/91,517 = 91,517/x
  3. Step 3: Cross multiply
    58,416x = 91,517 × 91,517
  4. Step 4: Simplify right side
    58,416x = 8,375,361,289
  5. Step 5: Solve for x
    x = 8,375,361,289/58,416
  6. Step 6: Final answer
    x = 143,374.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.