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Finding the Third Proportional to 76,035 and 119,274

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Solution

The third proportional to 76,035 and 119,274 is: 187,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,035 : 119,274 = 119,274 : x
  2. Step 2: Convert to fraction form
    76,035/119,274 = 119,274/x
  3. Step 3: Cross multiply
    76,035x = 119,274 × 119,274
  4. Step 4: Simplify right side
    76,035x = 14,226,287,076
  5. Step 5: Solve for x
    x = 14,226,287,076/76,035
  6. Step 6: Final answer
    x = 187,101.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.