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Finding the Third Proportional to 41,053 and 88,519

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Solution

The third proportional to 41,053 and 88,519 is: 190,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,053 : 88,519 = 88,519 : x
  2. Step 2: Convert to fraction form
    41,053/88,519 = 88,519/x
  3. Step 3: Cross multiply
    41,053x = 88,519 × 88,519
  4. Step 4: Simplify right side
    41,053x = 7,835,613,361
  5. Step 5: Solve for x
    x = 7,835,613,361/41,053
  6. Step 6: Final answer
    x = 190,865.79

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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.