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Finding the Third Proportional to 101,524.13 and 148,823.25

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Solution

The third proportional to 101,524.13 and 148,823.25 is: 218,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.13 : 148,823.25 = 148,823.25 : x
  2. Step 2: Convert to fraction form
    101,524.13/148,823.25 = 148,823.25/x
  3. Step 3: Cross multiply
    101,524.13x = 148,823.25 × 148,823.25
  4. Step 4: Simplify right side
    101,524.13x = 22,148,359,740.56
  5. Step 5: Solve for x
    x = 22,148,359,740.56/101,524.13
  6. Step 6: Final answer
    x = 218,158.59

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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.