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Finding the Third Proportional to 75,205.13 and 112,823.72

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Solution

The third proportional to 75,205.13 and 112,823.72 is: 169,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.13 : 112,823.72 = 112,823.72 : x
  2. Step 2: Convert to fraction form
    75,205.13/112,823.72 = 112,823.72/x
  3. Step 3: Cross multiply
    75,205.13x = 112,823.72 × 112,823.72
  4. Step 4: Simplify right side
    75,205.13x = 12,729,191,512.58
  5. Step 5: Solve for x
    x = 12,729,191,512.58/75,205.13
  6. Step 6: Final answer
    x = 169,259.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.