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Finding the Third Proportional to 72,609.13 and 157,281.13

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Solution

The third proportional to 72,609.13 and 157,281.13 is: 340,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,609.13 : 157,281.13 = 157,281.13 : x
  2. Step 2: Convert to fraction form
    72,609.13/157,281.13 = 157,281.13/x
  3. Step 3: Cross multiply
    72,609.13x = 157,281.13 × 157,281.13
  4. Step 4: Simplify right side
    72,609.13x = 24,737,352,281.27
  5. Step 5: Solve for x
    x = 24,737,352,281.27/72,609.13
  6. Step 6: Final answer
    x = 340,692.06

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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.