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Finding the Third Proportional to 76,304.75 and 112,251.88

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Solution

The third proportional to 76,304.75 and 112,251.88 is: 165,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,304.75 : 112,251.88 = 112,251.88 : x
  2. Step 2: Convert to fraction form
    76,304.75/112,251.88 = 112,251.88/x
  3. Step 3: Cross multiply
    76,304.75x = 112,251.88 × 112,251.88
  4. Step 4: Simplify right side
    76,304.75x = 12,600,483,441.02
  5. Step 5: Solve for x
    x = 12,600,483,441.02/76,304.75
  6. Step 6: Final answer
    x = 165,133.67

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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.