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Finding the Third Proportional to 101,438.50 and 148,401.75

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Solution

The third proportional to 101,438.50 and 148,401.75 is: 217,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,438.50 : 148,401.75 = 148,401.75 : x
  2. Step 2: Convert to fraction form
    101,438.50/148,401.75 = 148,401.75/x
  3. Step 3: Cross multiply
    101,438.50x = 148,401.75 × 148,401.75
  4. Step 4: Simplify right side
    101,438.50x = 22,023,079,403.06
  5. Step 5: Solve for x
    x = 22,023,079,403.06/101,438.50
  6. Step 6: Final answer
    x = 217,107.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.