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Finding the Third Proportional to 58,693 and 87,814

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Solution

The third proportional to 58,693 and 87,814 is: 131,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,693 : 87,814 = 87,814 : x
  2. Step 2: Convert to fraction form
    58,693/87,814 = 87,814/x
  3. Step 3: Cross multiply
    58,693x = 87,814 × 87,814
  4. Step 4: Simplify right side
    58,693x = 7,711,298,596
  5. Step 5: Solve for x
    x = 7,711,298,596/58,693
  6. Step 6: Final answer
    x = 131,383.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.