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Finding the Third Proportional to 49,948.50 and 106,254.75

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Solution

The third proportional to 49,948.50 and 106,254.75 is: 226,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,948.50 : 106,254.75 = 106,254.75 : x
  2. Step 2: Convert to fraction form
    49,948.50/106,254.75 = 106,254.75/x
  3. Step 3: Cross multiply
    49,948.50x = 106,254.75 × 106,254.75
  4. Step 4: Simplify right side
    49,948.50x = 11,290,071,897.56
  5. Step 5: Solve for x
    x = 11,290,071,897.56/49,948.50
  6. Step 6: Final answer
    x = 226,034.25

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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.