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Finding the Third Proportional to 71,931 and 156,983

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Solution

The third proportional to 71,931 and 156,983 is: 342,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931 : 156,983 = 156,983 : x
  2. Step 2: Convert to fraction form
    71,931/156,983 = 156,983/x
  3. Step 3: Cross multiply
    71,931x = 156,983 × 156,983
  4. Step 4: Simplify right side
    71,931x = 24,643,662,289
  5. Step 5: Solve for x
    x = 24,643,662,289/71,931
  6. Step 6: Final answer
    x = 342,601.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.