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Finding the Third Proportional to 113,638.57 and 173,917.76

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Solution

The third proportional to 113,638.57 and 173,917.76 is: 266,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,638.57 : 173,917.76 = 173,917.76 : x
  2. Step 2: Convert to fraction form
    113,638.57/173,917.76 = 173,917.76/x
  3. Step 3: Cross multiply
    113,638.57x = 173,917.76 × 173,917.76
  4. Step 4: Simplify right side
    113,638.57x = 30,247,386,482.53
  5. Step 5: Solve for x
    x = 30,247,386,482.53/113,638.57
  6. Step 6: Final answer
    x = 266,171.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.