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Finding the Third Proportional to 40,890 and 88,230

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Solution

The third proportional to 40,890 and 88,230 is: 190,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890 : 88,230 = 88,230 : x
  2. Step 2: Convert to fraction form
    40,890/88,230 = 88,230/x
  3. Step 3: Cross multiply
    40,890x = 88,230 × 88,230
  4. Step 4: Simplify right side
    40,890x = 7,784,532,900
  5. Step 5: Solve for x
    x = 7,784,532,900/40,890
  6. Step 6: Final answer
    x = 190,377.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.