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Finding the Third Proportional to 49,282 and 76,115

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Solution

The third proportional to 49,282 and 76,115 is: 117,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,282 : 76,115 = 76,115 : x
  2. Step 2: Convert to fraction form
    49,282/76,115 = 76,115/x
  3. Step 3: Cross multiply
    49,282x = 76,115 × 76,115
  4. Step 4: Simplify right side
    49,282x = 5,793,493,225
  5. Step 5: Solve for x
    x = 5,793,493,225/49,282
  6. Step 6: Final answer
    x = 117,558.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.