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Finding the Third Proportional to 112,697.53 and 175,508.63

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Solution

The third proportional to 112,697.53 and 175,508.63 is: 273,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,697.53 : 175,508.63 = 175,508.63 : x
  2. Step 2: Convert to fraction form
    112,697.53/175,508.63 = 175,508.63/x
  3. Step 3: Cross multiply
    112,697.53x = 175,508.63 × 175,508.63
  4. Step 4: Simplify right side
    112,697.53x = 30,803,277,449.39
  5. Step 5: Solve for x
    x = 30,803,277,449.39/112,697.53
  6. Step 6: Final answer
    x = 273,326.99

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