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Finding the Third Proportional to 72,609.38 and 157,281.43

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Solution

The third proportional to 72,609.38 and 157,281.43 is: 340,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,609.38 : 157,281.43 = 157,281.43 : x
  2. Step 2: Convert to fraction form
    72,609.38/157,281.43 = 157,281.43/x
  3. Step 3: Cross multiply
    72,609.38x = 157,281.43 × 157,281.43
  4. Step 4: Simplify right side
    72,609.38x = 24,737,449,353.31
  5. Step 5: Solve for x
    x = 24,737,449,353.31/72,609.38
  6. Step 6: Final answer
    x = 340,692.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.