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Finding the Third Proportional to 48,918 and 107,212.50

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Solution

The third proportional to 48,918 and 107,212.50 is: 234,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,918 : 107,212.50 = 107,212.50 : x
  2. Step 2: Convert to fraction form
    48,918/107,212.50 = 107,212.50/x
  3. Step 3: Cross multiply
    48,918x = 107,212.50 × 107,212.50
  4. Step 4: Simplify right side
    48,918x = 11,494,520,156.25
  5. Step 5: Solve for x
    x = 11,494,520,156.25/48,918
  6. Step 6: Final answer
    x = 234,975.27

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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.