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Finding the Third Proportional to 65,691 and 136,053

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Solution

The third proportional to 65,691 and 136,053 is: 281,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691 : 136,053 = 136,053 : x
  2. Step 2: Convert to fraction form
    65,691/136,053 = 136,053/x
  3. Step 3: Cross multiply
    65,691x = 136,053 × 136,053
  4. Step 4: Simplify right side
    65,691x = 18,510,418,809
  5. Step 5: Solve for x
    x = 18,510,418,809/65,691
  6. Step 6: Final answer
    x = 281,780.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.