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Finding the Third Proportional to 63,432 and 135,609.75

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Solution

The third proportional to 63,432 and 135,609.75 is: 289,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,432 : 135,609.75 = 135,609.75 : x
  2. Step 2: Convert to fraction form
    63,432/135,609.75 = 135,609.75/x
  3. Step 3: Cross multiply
    63,432x = 135,609.75 × 135,609.75
  4. Step 4: Simplify right side
    63,432x = 18,390,004,295.06
  5. Step 5: Solve for x
    x = 18,390,004,295.06/63,432
  6. Step 6: Final answer
    x = 289,916.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.