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Finding the Third Proportional to 44,146 and 66,317

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Solution

The third proportional to 44,146 and 66,317 is: 99,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,146 : 66,317 = 66,317 : x
  2. Step 2: Convert to fraction form
    44,146/66,317 = 66,317/x
  3. Step 3: Cross multiply
    44,146x = 66,317 × 66,317
  4. Step 4: Simplify right side
    44,146x = 4,397,944,489
  5. Step 5: Solve for x
    x = 4,397,944,489/44,146
  6. Step 6: Final answer
    x = 99,622.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.