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Finding the Third Proportional to 62,451 and 95,229

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Solution

The third proportional to 62,451 and 95,229 is: 145,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,451 : 95,229 = 95,229 : x
  2. Step 2: Convert to fraction form
    62,451/95,229 = 95,229/x
  3. Step 3: Cross multiply
    62,451x = 95,229 × 95,229
  4. Step 4: Simplify right side
    62,451x = 9,068,562,441
  5. Step 5: Solve for x
    x = 9,068,562,441/62,451
  6. Step 6: Final answer
    x = 145,210.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.