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Finding the Third Proportional to 112,557 and 171,694.50

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Solution

The third proportional to 112,557 and 171,694.50 is: 261,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,557 : 171,694.50 = 171,694.50 : x
  2. Step 2: Convert to fraction form
    112,557/171,694.50 = 171,694.50/x
  3. Step 3: Cross multiply
    112,557x = 171,694.50 × 171,694.50
  4. Step 4: Simplify right side
    112,557x = 29,479,001,330.25
  5. Step 5: Solve for x
    x = 29,479,001,330.25/112,557
  6. Step 6: Final answer
    x = 261,902.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.