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Finding the Third Proportional to 55,691 and 120,076

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Solution

The third proportional to 55,691 and 120,076 is: 258,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,691 : 120,076 = 120,076 : x
  2. Step 2: Convert to fraction form
    55,691/120,076 = 120,076/x
  3. Step 3: Cross multiply
    55,691x = 120,076 × 120,076
  4. Step 4: Simplify right side
    55,691x = 14,418,245,776
  5. Step 5: Solve for x
    x = 14,418,245,776/55,691
  6. Step 6: Final answer
    x = 258,897.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.