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Finding the Third Proportional to 113,595.75 and 165,105.75

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Solution

The third proportional to 113,595.75 and 165,105.75 is: 239,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,595.75 : 165,105.75 = 165,105.75 : x
  2. Step 2: Convert to fraction form
    113,595.75/165,105.75 = 165,105.75/x
  3. Step 3: Cross multiply
    113,595.75x = 165,105.75 × 165,105.75
  4. Step 4: Simplify right side
    113,595.75x = 27,259,908,683.06
  5. Step 5: Solve for x
    x = 27,259,908,683.06/113,595.75
  6. Step 6: Final answer
    x = 239,972.96

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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.