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Finding the Third Proportional to 41,122.50 and 88,482

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Solution

The third proportional to 41,122.50 and 88,482 is: 190,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,122.50 : 88,482 = 88,482 : x
  2. Step 2: Convert to fraction form
    41,122.50/88,482 = 88,482/x
  3. Step 3: Cross multiply
    41,122.50x = 88,482 × 88,482
  4. Step 4: Simplify right side
    41,122.50x = 7,829,064,324
  5. Step 5: Solve for x
    x = 7,829,064,324/41,122.50
  6. Step 6: Final answer
    x = 190,383.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.