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Finding the Third Proportional to 56,098 and 83,939

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Solution

The third proportional to 56,098 and 83,939 is: 125,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098 : 83,939 = 83,939 : x
  2. Step 2: Convert to fraction form
    56,098/83,939 = 83,939/x
  3. Step 3: Cross multiply
    56,098x = 83,939 × 83,939
  4. Step 4: Simplify right side
    56,098x = 7,045,755,721
  5. Step 5: Solve for x
    x = 7,045,755,721/56,098
  6. Step 6: Final answer
    x = 125,597.27

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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.