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Finding the Third Proportional to 117,078.75 and 167,302.13

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Solution

The third proportional to 117,078.75 and 167,302.13 is: 239,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,078.75 : 167,302.13 = 167,302.13 : x
  2. Step 2: Convert to fraction form
    117,078.75/167,302.13 = 167,302.13/x
  3. Step 3: Cross multiply
    117,078.75x = 167,302.13 × 167,302.13
  4. Step 4: Simplify right side
    117,078.75x = 27,990,001,029.52
  5. Step 5: Solve for x
    x = 27,990,001,029.52/117,078.75
  6. Step 6: Final answer
    x = 239,069.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.