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Finding the Third Proportional to 66,074 and 102,339

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Solution

The third proportional to 66,074 and 102,339 is: 158,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,074 : 102,339 = 102,339 : x
  2. Step 2: Convert to fraction form
    66,074/102,339 = 102,339/x
  3. Step 3: Cross multiply
    66,074x = 102,339 × 102,339
  4. Step 4: Simplify right side
    66,074x = 10,473,270,921
  5. Step 5: Solve for x
    x = 10,473,270,921/66,074
  6. Step 6: Final answer
    x = 158,508.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.