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Finding the Third Proportional to 45,082 and 96,808

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Solution

The third proportional to 45,082 and 96,808 is: 207,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,082 : 96,808 = 96,808 : x
  2. Step 2: Convert to fraction form
    45,082/96,808 = 96,808/x
  3. Step 3: Cross multiply
    45,082x = 96,808 × 96,808
  4. Step 4: Simplify right side
    45,082x = 9,371,788,864
  5. Step 5: Solve for x
    x = 9,371,788,864/45,082
  6. Step 6: Final answer
    x = 207,883.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.