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Finding the Third Proportional to 117,912 and 181,203.75

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Solution

The third proportional to 117,912 and 181,203.75 is: 278,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,912 : 181,203.75 = 181,203.75 : x
  2. Step 2: Convert to fraction form
    117,912/181,203.75 = 181,203.75/x
  3. Step 3: Cross multiply
    117,912x = 181,203.75 × 181,203.75
  4. Step 4: Simplify right side
    117,912x = 32,834,799,014.06
  5. Step 5: Solve for x
    x = 32,834,799,014.06/117,912
  6. Step 6: Final answer
    x = 278,468.68

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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.