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Finding the Third Proportional to 66,782 and 145,156

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Solution

The third proportional to 66,782 and 145,156 is: 315,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782 : 145,156 = 145,156 : x
  2. Step 2: Convert to fraction form
    66,782/145,156 = 145,156/x
  3. Step 3: Cross multiply
    66,782x = 145,156 × 145,156
  4. Step 4: Simplify right side
    66,782x = 21,070,264,336
  5. Step 5: Solve for x
    x = 21,070,264,336/66,782
  6. Step 6: Final answer
    x = 315,508.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.