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Finding the Third Proportional to 73,862.81 and 162,086.25

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Solution

The third proportional to 73,862.81 and 162,086.25 is: 355,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,862.81 : 162,086.25 = 162,086.25 : x
  2. Step 2: Convert to fraction form
    73,862.81/162,086.25 = 162,086.25/x
  3. Step 3: Cross multiply
    73,862.81x = 162,086.25 × 162,086.25
  4. Step 4: Simplify right side
    73,862.81x = 26,271,952,439.06
  5. Step 5: Solve for x
    x = 26,271,952,439.06/73,862.81
  6. Step 6: Final answer
    x = 355,685.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.