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Finding the Third Proportional to 67,624 and 105,122

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Solution

The third proportional to 67,624 and 105,122 is: 163,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,624 : 105,122 = 105,122 : x
  2. Step 2: Convert to fraction form
    67,624/105,122 = 105,122/x
  3. Step 3: Cross multiply
    67,624x = 105,122 × 105,122
  4. Step 4: Simplify right side
    67,624x = 11,050,634,884
  5. Step 5: Solve for x
    x = 11,050,634,884/67,624
  6. Step 6: Final answer
    x = 163,412.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.