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Finding the Third Proportional to 112,357.50 and 170,835

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Solution

The third proportional to 112,357.50 and 170,835 is: 259,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,357.50 : 170,835 = 170,835 : x
  2. Step 2: Convert to fraction form
    112,357.50/170,835 = 170,835/x
  3. Step 3: Cross multiply
    112,357.50x = 170,835 × 170,835
  4. Step 4: Simplify right side
    112,357.50x = 29,184,597,225
  5. Step 5: Solve for x
    x = 29,184,597,225/112,357.50
  6. Step 6: Final answer
    x = 259,747.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.