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Finding the Third Proportional to 107,010 and 169,593

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Solution

The third proportional to 107,010 and 169,593 is: 268,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,010 : 169,593 = 169,593 : x
  2. Step 2: Convert to fraction form
    107,010/169,593 = 169,593/x
  3. Step 3: Cross multiply
    107,010x = 169,593 × 169,593
  4. Step 4: Simplify right side
    107,010x = 28,761,785,649
  5. Step 5: Solve for x
    x = 28,761,785,649/107,010
  6. Step 6: Final answer
    x = 268,776.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.