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Finding the Third Proportional to 67,931 and 147,523

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Solution

The third proportional to 67,931 and 147,523 is: 320,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,931 : 147,523 = 147,523 : x
  2. Step 2: Convert to fraction form
    67,931/147,523 = 147,523/x
  3. Step 3: Cross multiply
    67,931x = 147,523 × 147,523
  4. Step 4: Simplify right side
    67,931x = 21,763,035,529
  5. Step 5: Solve for x
    x = 21,763,035,529/67,931
  6. Step 6: Final answer
    x = 320,369.72

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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.