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Finding the Third Proportional to 68,386 and 103,526

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Solution

The third proportional to 68,386 and 103,526 is: 156,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,386 : 103,526 = 103,526 : x
  2. Step 2: Convert to fraction form
    68,386/103,526 = 103,526/x
  3. Step 3: Cross multiply
    68,386x = 103,526 × 103,526
  4. Step 4: Simplify right side
    68,386x = 10,717,632,676
  5. Step 5: Solve for x
    x = 10,717,632,676/68,386
  6. Step 6: Final answer
    x = 156,722.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.