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Finding the Third Proportional to 67,981 and 147,262

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Solution

The third proportional to 67,981 and 147,262 is: 319,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981 : 147,262 = 147,262 : x
  2. Step 2: Convert to fraction form
    67,981/147,262 = 147,262/x
  3. Step 3: Cross multiply
    67,981x = 147,262 × 147,262
  4. Step 4: Simplify right side
    67,981x = 21,686,096,644
  5. Step 5: Solve for x
    x = 21,686,096,644/67,981
  6. Step 6: Final answer
    x = 319,002.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.