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Finding the Third Proportional to 48,102.50 and 73,999

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Solution

The third proportional to 48,102.50 and 73,999 is: 113,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102.50 : 73,999 = 73,999 : x
  2. Step 2: Convert to fraction form
    48,102.50/73,999 = 73,999/x
  3. Step 3: Cross multiply
    48,102.50x = 73,999 × 73,999
  4. Step 4: Simplify right side
    48,102.50x = 5,475,852,001
  5. Step 5: Solve for x
    x = 5,475,852,001/48,102.50
  6. Step 6: Final answer
    x = 113,837.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.