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Finding the Third Proportional to 107,077.57 and 148,852.69

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Solution

The third proportional to 107,077.57 and 148,852.69 is: 206,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,077.57 : 148,852.69 = 148,852.69 : x
  2. Step 2: Convert to fraction form
    107,077.57/148,852.69 = 148,852.69/x
  3. Step 3: Cross multiply
    107,077.57x = 148,852.69 × 148,852.69
  4. Step 4: Simplify right side
    107,077.57x = 22,157,122,575.97
  5. Step 5: Solve for x
    x = 22,157,122,575.97/107,077.57
  6. Step 6: Final answer
    x = 206,925.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.