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Finding the Third Proportional to 113,868.25 and 162,207.75

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Solution

The third proportional to 113,868.25 and 162,207.75 is: 231,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868.25 : 162,207.75 = 162,207.75 : x
  2. Step 2: Convert to fraction form
    113,868.25/162,207.75 = 162,207.75/x
  3. Step 3: Cross multiply
    113,868.25x = 162,207.75 × 162,207.75
  4. Step 4: Simplify right side
    113,868.25x = 26,311,354,160.06
  5. Step 5: Solve for x
    x = 26,311,354,160.06/113,868.25
  6. Step 6: Final answer
    x = 231,068.40

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.