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Finding the Third Proportional to 76,362.75 and 112,257.14

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Solution

The third proportional to 76,362.75 and 112,257.14 is: 165,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.75 : 112,257.14 = 112,257.14 : x
  2. Step 2: Convert to fraction form
    76,362.75/112,257.14 = 112,257.14/x
  3. Step 3: Cross multiply
    76,362.75x = 112,257.14 × 112,257.14
  4. Step 4: Simplify right side
    76,362.75x = 12,601,665,621.30
  5. Step 5: Solve for x
    x = 12,601,665,621.30/76,362.75
  6. Step 6: Final answer
    x = 165,023.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.