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Finding the Third Proportional to 68,586 and 101,034

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Solution

The third proportional to 68,586 and 101,034 is: 148,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,586 : 101,034 = 101,034 : x
  2. Step 2: Convert to fraction form
    68,586/101,034 = 101,034/x
  3. Step 3: Cross multiply
    68,586x = 101,034 × 101,034
  4. Step 4: Simplify right side
    68,586x = 10,207,869,156
  5. Step 5: Solve for x
    x = 10,207,869,156/68,586
  6. Step 6: Final answer
    x = 148,833.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.