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Finding the Third Proportional to 75,535.88 and 109,237.78

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Solution

The third proportional to 75,535.88 and 109,237.78 is: 157,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,535.88 : 109,237.78 = 109,237.78 : x
  2. Step 2: Convert to fraction form
    75,535.88/109,237.78 = 109,237.78/x
  3. Step 3: Cross multiply
    75,535.88x = 109,237.78 × 109,237.78
  4. Step 4: Simplify right side
    75,535.88x = 11,932,892,852.42
  5. Step 5: Solve for x
    x = 11,932,892,852.42/75,535.88
  6. Step 6: Final answer
    x = 157,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.