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Finding the Third Proportional to 61,677 and 132,099

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Solution

The third proportional to 61,677 and 132,099 is: 282,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,677 : 132,099 = 132,099 : x
  2. Step 2: Convert to fraction form
    61,677/132,099 = 132,099/x
  3. Step 3: Cross multiply
    61,677x = 132,099 × 132,099
  4. Step 4: Simplify right side
    61,677x = 17,450,145,801
  5. Step 5: Solve for x
    x = 17,450,145,801/61,677
  6. Step 6: Final answer
    x = 282,927.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.