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Finding the Third Proportional to 107,228.25 and 159,018.75

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Solution

The third proportional to 107,228.25 and 159,018.75 is: 235,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,228.25 : 159,018.75 = 159,018.75 : x
  2. Step 2: Convert to fraction form
    107,228.25/159,018.75 = 159,018.75/x
  3. Step 3: Cross multiply
    107,228.25x = 159,018.75 × 159,018.75
  4. Step 4: Simplify right side
    107,228.25x = 25,286,962,851.56
  5. Step 5: Solve for x
    x = 25,286,962,851.56/107,228.25
  6. Step 6: Final answer
    x = 235,823.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.