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Finding the Third Proportional to 137,607.75 and 203,857.13

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Solution

The third proportional to 137,607.75 and 203,857.13 is: 302,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,607.75 : 203,857.13 = 203,857.13 : x
  2. Step 2: Convert to fraction form
    137,607.75/203,857.13 = 203,857.13/x
  3. Step 3: Cross multiply
    137,607.75x = 203,857.13 × 203,857.13
  4. Step 4: Simplify right side
    137,607.75x = 41,557,727,413.27
  5. Step 5: Solve for x
    x = 41,557,727,413.27/137,607.75
  6. Step 6: Final answer
    x = 302,001.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.