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Finding the Third Proportional to 49,082 and 77,841

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Solution

The third proportional to 49,082 and 77,841 is: 123,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,082 : 77,841 = 77,841 : x
  2. Step 2: Convert to fraction form
    49,082/77,841 = 77,841/x
  3. Step 3: Cross multiply
    49,082x = 77,841 × 77,841
  4. Step 4: Simplify right side
    49,082x = 6,059,221,281
  5. Step 5: Solve for x
    x = 6,059,221,281/49,082
  6. Step 6: Final answer
    x = 123,450.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.