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Finding the Third Proportional to 75,513.38 and 162,598.13

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Solution

The third proportional to 75,513.38 and 162,598.13 is: 350,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,513.38 : 162,598.13 = 162,598.13 : x
  2. Step 2: Convert to fraction form
    75,513.38/162,598.13 = 162,598.13/x
  3. Step 3: Cross multiply
    75,513.38x = 162,598.13 × 162,598.13
  4. Step 4: Simplify right side
    75,513.38x = 26,438,150,253.52
  5. Step 5: Solve for x
    x = 26,438,150,253.52/75,513.38
  6. Step 6: Final answer
    x = 350,112.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.