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Finding the Third Proportional to 67,491 and 103,281

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Solution

The third proportional to 67,491 and 103,281 is: 158,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,491 : 103,281 = 103,281 : x
  2. Step 2: Convert to fraction form
    67,491/103,281 = 103,281/x
  3. Step 3: Cross multiply
    67,491x = 103,281 × 103,281
  4. Step 4: Simplify right side
    67,491x = 10,666,964,961
  5. Step 5: Solve for x
    x = 10,666,964,961/67,491
  6. Step 6: Final answer
    x = 158,050.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.