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Finding the Third Proportional to 84,837.75 and 177,937.50

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Solution

The third proportional to 84,837.75 and 177,937.50 is: 373,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,837.75 : 177,937.50 = 177,937.50 : x
  2. Step 2: Convert to fraction form
    84,837.75/177,937.50 = 177,937.50/x
  3. Step 3: Cross multiply
    84,837.75x = 177,937.50 × 177,937.50
  4. Step 4: Simplify right side
    84,837.75x = 31,661,753,906.25
  5. Step 5: Solve for x
    x = 31,661,753,906.25/84,837.75
  6. Step 6: Final answer
    x = 373,203.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.