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Finding the Third Proportional to 112,252.75 and 177,715.25

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Solution

The third proportional to 112,252.75 and 177,715.25 is: 281,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,252.75 : 177,715.25 = 177,715.25 : x
  2. Step 2: Convert to fraction form
    112,252.75/177,715.25 = 177,715.25/x
  3. Step 3: Cross multiply
    112,252.75x = 177,715.25 × 177,715.25
  4. Step 4: Simplify right side
    112,252.75x = 31,582,710,082.56
  5. Step 5: Solve for x
    x = 31,582,710,082.56/112,252.75
  6. Step 6: Final answer
    x = 281,353.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.