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Finding the Third Proportional to 41,145 and 88,532

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Solution

The third proportional to 41,145 and 88,532 is: 190,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,145 : 88,532 = 88,532 : x
  2. Step 2: Convert to fraction form
    41,145/88,532 = 88,532/x
  3. Step 3: Cross multiply
    41,145x = 88,532 × 88,532
  4. Step 4: Simplify right side
    41,145x = 7,837,915,024
  5. Step 5: Solve for x
    x = 7,837,915,024/41,145
  6. Step 6: Final answer
    x = 190,494.96

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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.