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Finding the Third Proportional to 41,053 and 88,655

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Solution

The third proportional to 41,053 and 88,655 is: 191,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,053 : 88,655 = 88,655 : x
  2. Step 2: Convert to fraction form
    41,053/88,655 = 88,655/x
  3. Step 3: Cross multiply
    41,053x = 88,655 × 88,655
  4. Step 4: Simplify right side
    41,053x = 7,859,709,025
  5. Step 5: Solve for x
    x = 7,859,709,025/41,053
  6. Step 6: Final answer
    x = 191,452.73

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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.