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Finding the Third Proportional to 101,503.13 and 149,176.69

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Solution

The third proportional to 101,503.13 and 149,176.69 is: 219,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,503.13 : 149,176.69 = 149,176.69 : x
  2. Step 2: Convert to fraction form
    101,503.13/149,176.69 = 149,176.69/x
  3. Step 3: Cross multiply
    101,503.13x = 149,176.69 × 149,176.69
  4. Step 4: Simplify right side
    101,503.13x = 22,253,684,093.47
  5. Step 5: Solve for x
    x = 22,253,684,093.47/101,503.13
  6. Step 6: Final answer
    x = 219,241.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.