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Finding the Third Proportional to 61,461 and 129,099

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Solution

The third proportional to 61,461 and 129,099 is: 271,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 129,099 = 129,099 : x
  2. Step 2: Convert to fraction form
    61,461/129,099 = 129,099/x
  3. Step 3: Cross multiply
    61,461x = 129,099 × 129,099
  4. Step 4: Simplify right side
    61,461x = 16,666,551,801
  5. Step 5: Solve for x
    x = 16,666,551,801/61,461
  6. Step 6: Final answer
    x = 271,172.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.