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Finding the Third Proportional to 72,496.13 and 159,176.53

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Solution

The third proportional to 72,496.13 and 159,176.53 is: 349,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,496.13 : 159,176.53 = 159,176.53 : x
  2. Step 2: Convert to fraction form
    72,496.13/159,176.53 = 159,176.53/x
  3. Step 3: Cross multiply
    72,496.13x = 159,176.53 × 159,176.53
  4. Step 4: Simplify right side
    72,496.13x = 25,337,168,100.78
  5. Step 5: Solve for x
    x = 25,337,168,100.78/72,496.13
  6. Step 6: Final answer
    x = 349,496.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.