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Finding the Third Proportional to 73,432 and 153,195

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Solution

The third proportional to 73,432 and 153,195 is: 319,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,432 : 153,195 = 153,195 : x
  2. Step 2: Convert to fraction form
    73,432/153,195 = 153,195/x
  3. Step 3: Cross multiply
    73,432x = 153,195 × 153,195
  4. Step 4: Simplify right side
    73,432x = 23,468,708,025
  5. Step 5: Solve for x
    x = 23,468,708,025/73,432
  6. Step 6: Final answer
    x = 319,597.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.