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Finding the Third Proportional to 75,639 and 100,335.75

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Solution

The third proportional to 75,639 and 100,335.75 is: 133,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639 : 100,335.75 = 100,335.75 : x
  2. Step 2: Convert to fraction form
    75,639/100,335.75 = 100,335.75/x
  3. Step 3: Cross multiply
    75,639x = 100,335.75 × 100,335.75
  4. Step 4: Simplify right side
    75,639x = 10,067,262,728.06
  5. Step 5: Solve for x
    x = 10,067,262,728.06/75,639
  6. Step 6: Final answer
    x = 133,096.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.