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Finding the Third Proportional to 72,756.31 and 108,686.38

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Solution

The third proportional to 72,756.31 and 108,686.38 is: 162,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,756.31 : 108,686.38 = 108,686.38 : x
  2. Step 2: Convert to fraction form
    72,756.31/108,686.38 = 108,686.38/x
  3. Step 3: Cross multiply
    72,756.31x = 108,686.38 × 108,686.38
  4. Step 4: Simplify right side
    72,756.31x = 11,812,728,110.64
  5. Step 5: Solve for x
    x = 11,812,728,110.64/72,756.31
  6. Step 6: Final answer
    x = 162,360.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.