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Finding the Third Proportional to 66,151 and 96,451

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Solution

The third proportional to 66,151 and 96,451 is: 140,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,151 : 96,451 = 96,451 : x
  2. Step 2: Convert to fraction form
    66,151/96,451 = 96,451/x
  3. Step 3: Cross multiply
    66,151x = 96,451 × 96,451
  4. Step 4: Simplify right side
    66,151x = 9,302,795,401
  5. Step 5: Solve for x
    x = 9,302,795,401/66,151
  6. Step 6: Final answer
    x = 140,629.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.