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Finding the Third Proportional to 38,141 and 88,586

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Solution

The third proportional to 38,141 and 88,586 is: 205,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141 : 88,586 = 88,586 : x
  2. Step 2: Convert to fraction form
    38,141/88,586 = 88,586/x
  3. Step 3: Cross multiply
    38,141x = 88,586 × 88,586
  4. Step 4: Simplify right side
    38,141x = 7,847,479,396
  5. Step 5: Solve for x
    x = 7,847,479,396/38,141
  6. Step 6: Final answer
    x = 205,749.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.