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Finding the Third Proportional to 88,820.30 and 115,235.16

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Solution

The third proportional to 88,820.30 and 115,235.16 is: 149,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,820.30 : 115,235.16 = 115,235.16 : x
  2. Step 2: Convert to fraction form
    88,820.30/115,235.16 = 115,235.16/x
  3. Step 3: Cross multiply
    88,820.30x = 115,235.16 × 115,235.16
  4. Step 4: Simplify right side
    88,820.30x = 13,279,141,235.96
  5. Step 5: Solve for x
    x = 13,279,141,235.96/88,820.30
  6. Step 6: Final answer
    x = 149,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.