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Finding the Third Proportional to 71,409 and 156,827

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Solution

The third proportional to 71,409 and 156,827 is: 344,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409 : 156,827 = 156,827 : x
  2. Step 2: Convert to fraction form
    71,409/156,827 = 156,827/x
  3. Step 3: Cross multiply
    71,409x = 156,827 × 156,827
  4. Step 4: Simplify right side
    71,409x = 24,594,707,929
  5. Step 5: Solve for x
    x = 24,594,707,929/71,409
  6. Step 6: Final answer
    x = 344,420.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.