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Finding the Third Proportional to 45,662 and 67,262

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Solution

The third proportional to 45,662 and 67,262 is: 99,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,662 : 67,262 = 67,262 : x
  2. Step 2: Convert to fraction form
    45,662/67,262 = 67,262/x
  3. Step 3: Cross multiply
    45,662x = 67,262 × 67,262
  4. Step 4: Simplify right side
    45,662x = 4,524,176,644
  5. Step 5: Solve for x
    x = 4,524,176,644/45,662
  6. Step 6: Final answer
    x = 99,079.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.