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Finding the Third Proportional to 56,658 and 86,353

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Solution

The third proportional to 56,658 and 86,353 is: 131,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,658 : 86,353 = 86,353 : x
  2. Step 2: Convert to fraction form
    56,658/86,353 = 86,353/x
  3. Step 3: Cross multiply
    56,658x = 86,353 × 86,353
  4. Step 4: Simplify right side
    56,658x = 7,456,840,609
  5. Step 5: Solve for x
    x = 7,456,840,609/56,658
  6. Step 6: Final answer
    x = 131,611.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.