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Finding the Third Proportional to 61,677 and 132,138

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Solution

The third proportional to 61,677 and 132,138 is: 283,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,677 : 132,138 = 132,138 : x
  2. Step 2: Convert to fraction form
    61,677/132,138 = 132,138/x
  3. Step 3: Cross multiply
    61,677x = 132,138 × 132,138
  4. Step 4: Simplify right side
    61,677x = 17,460,451,044
  5. Step 5: Solve for x
    x = 17,460,451,044/61,677
  6. Step 6: Final answer
    x = 283,095.01

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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.