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Finding the Third Proportional to 72,045.56 and 156,549.38

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Solution

The third proportional to 72,045.56 and 156,549.38 is: 340,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,045.56 : 156,549.38 = 156,549.38 : x
  2. Step 2: Convert to fraction form
    72,045.56/156,549.38 = 156,549.38/x
  3. Step 3: Cross multiply
    72,045.56x = 156,549.38 × 156,549.38
  4. Step 4: Simplify right side
    72,045.56x = 24,507,706,812.89
  5. Step 5: Solve for x
    x = 24,507,706,812.89/72,045.56
  6. Step 6: Final answer
    x = 340,169.55

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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.