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Finding the Third Proportional to 112,282.50 and 240,123

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Solution

The third proportional to 112,282.50 and 240,123 is: 513,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,282.50 : 240,123 = 240,123 : x
  2. Step 2: Convert to fraction form
    112,282.50/240,123 = 240,123/x
  3. Step 3: Cross multiply
    112,282.50x = 240,123 × 240,123
  4. Step 4: Simplify right side
    112,282.50x = 57,659,055,129
  5. Step 5: Solve for x
    x = 57,659,055,129/112,282.50
  6. Step 6: Final answer
    x = 513,517.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.