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Finding the Third Proportional to 58,170 and 87,693

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Solution

The third proportional to 58,170 and 87,693 is: 132,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,170 : 87,693 = 87,693 : x
  2. Step 2: Convert to fraction form
    58,170/87,693 = 87,693/x
  3. Step 3: Cross multiply
    58,170x = 87,693 × 87,693
  4. Step 4: Simplify right side
    58,170x = 7,690,062,249
  5. Step 5: Solve for x
    x = 7,690,062,249/58,170
  6. Step 6: Final answer
    x = 132,199.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.