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Finding the Third Proportional to 71,838.28 and 156,111.47

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Solution

The third proportional to 71,838.28 and 156,111.47 is: 339,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.28 : 156,111.47 = 156,111.47 : x
  2. Step 2: Convert to fraction form
    71,838.28/156,111.47 = 156,111.47/x
  3. Step 3: Cross multiply
    71,838.28x = 156,111.47 × 156,111.47
  4. Step 4: Simplify right side
    71,838.28x = 24,370,790,675.28
  5. Step 5: Solve for x
    x = 24,370,790,675.28/71,838.28
  6. Step 6: Final answer
    x = 339,245.18

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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.