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Finding the Third Proportional to 49,209 and 104,862

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Solution

The third proportional to 49,209 and 104,862 is: 223,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209 : 104,862 = 104,862 : x
  2. Step 2: Convert to fraction form
    49,209/104,862 = 104,862/x
  3. Step 3: Cross multiply
    49,209x = 104,862 × 104,862
  4. Step 4: Simplify right side
    49,209x = 10,996,039,044
  5. Step 5: Solve for x
    x = 10,996,039,044/49,209
  6. Step 6: Final answer
    x = 223,455.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.