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Finding the Third Proportional to 41,062 and 88,534

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Solution

The third proportional to 41,062 and 88,534 is: 190,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,062 : 88,534 = 88,534 : x
  2. Step 2: Convert to fraction form
    41,062/88,534 = 88,534/x
  3. Step 3: Cross multiply
    41,062x = 88,534 × 88,534
  4. Step 4: Simplify right side
    41,062x = 7,838,269,156
  5. Step 5: Solve for x
    x = 7,838,269,156/41,062
  6. Step 6: Final answer
    x = 190,888.64

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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.