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Finding the Third Proportional to 112,697.58 and 175,508.65

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Solution

The third proportional to 112,697.58 and 175,508.65 is: 273,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,697.58 : 175,508.65 = 175,508.65 : x
  2. Step 2: Convert to fraction form
    112,697.58/175,508.65 = 175,508.65/x
  3. Step 3: Cross multiply
    112,697.58x = 175,508.65 × 175,508.65
  4. Step 4: Simplify right side
    112,697.58x = 30,803,285,676.36
  5. Step 5: Solve for x
    x = 30,803,285,676.36/112,697.58
  6. Step 6: Final answer
    x = 273,326.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.