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Finding the Third Proportional to 49,438.75 and 108,246.50

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Solution

The third proportional to 49,438.75 and 108,246.50 is: 237,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,438.75 : 108,246.50 = 108,246.50 : x
  2. Step 2: Convert to fraction form
    49,438.75/108,246.50 = 108,246.50/x
  3. Step 3: Cross multiply
    49,438.75x = 108,246.50 × 108,246.50
  4. Step 4: Simplify right side
    49,438.75x = 11,717,304,762.25
  5. Step 5: Solve for x
    x = 11,717,304,762.25/49,438.75
  6. Step 6: Final answer
    x = 237,006.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.