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Finding the Third Proportional to 58,557 and 87,675

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Solution

The third proportional to 58,557 and 87,675 is: 131,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,557 : 87,675 = 87,675 : x
  2. Step 2: Convert to fraction form
    58,557/87,675 = 87,675/x
  3. Step 3: Cross multiply
    58,557x = 87,675 × 87,675
  4. Step 4: Simplify right side
    58,557x = 7,686,905,625
  5. Step 5: Solve for x
    x = 7,686,905,625/58,557
  6. Step 6: Final answer
    x = 131,272.19

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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.