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Finding the Third Proportional to 103,864 and 169,584

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Solution

The third proportional to 103,864 and 169,584 is: 276,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,864 : 169,584 = 169,584 : x
  2. Step 2: Convert to fraction form
    103,864/169,584 = 169,584/x
  3. Step 3: Cross multiply
    103,864x = 169,584 × 169,584
  4. Step 4: Simplify right side
    103,864x = 28,758,733,056
  5. Step 5: Solve for x
    x = 28,758,733,056/103,864
  6. Step 6: Final answer
    x = 276,888.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.