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Finding the Third Proportional to 112,711.50 and 179,729.25

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Solution

The third proportional to 112,711.50 and 179,729.25 is: 286,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,711.50 : 179,729.25 = 179,729.25 : x
  2. Step 2: Convert to fraction form
    112,711.50/179,729.25 = 179,729.25/x
  3. Step 3: Cross multiply
    112,711.50x = 179,729.25 × 179,729.25
  4. Step 4: Simplify right side
    112,711.50x = 32,302,603,305.56
  5. Step 5: Solve for x
    x = 32,302,603,305.56/112,711.50
  6. Step 6: Final answer
    x = 286,595.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.