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Finding the Third Proportional to 76,082 and 110,210

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Solution

The third proportional to 76,082 and 110,210 is: 159,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082 : 110,210 = 110,210 : x
  2. Step 2: Convert to fraction form
    76,082/110,210 = 110,210/x
  3. Step 3: Cross multiply
    76,082x = 110,210 × 110,210
  4. Step 4: Simplify right side
    76,082x = 12,146,244,100
  5. Step 5: Solve for x
    x = 12,146,244,100/76,082
  6. Step 6: Final answer
    x = 159,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.