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Finding the Third Proportional to 76,656 and 123,084

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Solution

The third proportional to 76,656 and 123,084 is: 197,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 123,084 = 123,084 : x
  2. Step 2: Convert to fraction form
    76,656/123,084 = 123,084/x
  3. Step 3: Cross multiply
    76,656x = 123,084 × 123,084
  4. Step 4: Simplify right side
    76,656x = 15,149,671,056
  5. Step 5: Solve for x
    x = 15,149,671,056/76,656
  6. Step 6: Final answer
    x = 197,631.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.