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Finding the Third Proportional to 72,181.13 and 106,098.19

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Solution

The third proportional to 72,181.13 and 106,098.19 is: 155,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,181.13 : 106,098.19 = 106,098.19 : x
  2. Step 2: Convert to fraction form
    72,181.13/106,098.19 = 106,098.19/x
  3. Step 3: Cross multiply
    72,181.13x = 106,098.19 × 106,098.19
  4. Step 4: Simplify right side
    72,181.13x = 11,256,825,390.79
  5. Step 5: Solve for x
    x = 11,256,825,390.79/72,181.13
  6. Step 6: Final answer
    x = 155,952.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.