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Finding the Third Proportional to 66,113 and 135,748

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Solution

The third proportional to 66,113 and 135,748 is: 278,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,113 : 135,748 = 135,748 : x
  2. Step 2: Convert to fraction form
    66,113/135,748 = 135,748/x
  3. Step 3: Cross multiply
    66,113x = 135,748 × 135,748
  4. Step 4: Simplify right side
    66,113x = 18,427,519,504
  5. Step 5: Solve for x
    x = 18,427,519,504/66,113
  6. Step 6: Final answer
    x = 278,727.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.