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Finding the Third Proportional to 73,006.31 and 156,522.38

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Solution

The third proportional to 73,006.31 and 156,522.38 is: 335,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.31 : 156,522.38 = 156,522.38 : x
  2. Step 2: Convert to fraction form
    73,006.31/156,522.38 = 156,522.38/x
  3. Step 3: Cross multiply
    73,006.31x = 156,522.38 × 156,522.38
  4. Step 4: Simplify right side
    73,006.31x = 24,499,253,875.64
  5. Step 5: Solve for x
    x = 24,499,253,875.64/73,006.31
  6. Step 6: Final answer
    x = 335,577.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.