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Finding the Third Proportional to 88,278.38 and 113,346.38

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Solution

The third proportional to 88,278.38 and 113,346.38 is: 145,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,278.38 : 113,346.38 = 113,346.38 : x
  2. Step 2: Convert to fraction form
    88,278.38/113,346.38 = 113,346.38/x
  3. Step 3: Cross multiply
    88,278.38x = 113,346.38 × 113,346.38
  4. Step 4: Simplify right side
    88,278.38x = 12,847,400,725.64
  5. Step 5: Solve for x
    x = 12,847,400,725.64/88,278.38
  6. Step 6: Final answer
    x = 145,532.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.