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Finding the Third Proportional to 49,959 and 104,534

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Solution

The third proportional to 49,959 and 104,534 is: 218,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959 : 104,534 = 104,534 : x
  2. Step 2: Convert to fraction form
    49,959/104,534 = 104,534/x
  3. Step 3: Cross multiply
    49,959x = 104,534 × 104,534
  4. Step 4: Simplify right side
    49,959x = 10,927,357,156
  5. Step 5: Solve for x
    x = 10,927,357,156/49,959
  6. Step 6: Final answer
    x = 218,726.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.