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Finding the Third Proportional to 41,049 and 88,506

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Solution

The third proportional to 41,049 and 88,506 is: 190,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,049 : 88,506 = 88,506 : x
  2. Step 2: Convert to fraction form
    41,049/88,506 = 88,506/x
  3. Step 3: Cross multiply
    41,049x = 88,506 × 88,506
  4. Step 4: Simplify right side
    41,049x = 7,833,312,036
  5. Step 5: Solve for x
    x = 7,833,312,036/41,049
  6. Step 6: Final answer
    x = 190,828.33

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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.