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Finding the Third Proportional to 117,074 and 167,295.50

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Solution

The third proportional to 117,074 and 167,295.50 is: 239,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,074 : 167,295.50 = 167,295.50 : x
  2. Step 2: Convert to fraction form
    117,074/167,295.50 = 167,295.50/x
  3. Step 3: Cross multiply
    117,074x = 167,295.50 × 167,295.50
  4. Step 4: Simplify right side
    117,074x = 27,987,784,320.25
  5. Step 5: Solve for x
    x = 27,987,784,320.25/117,074
  6. Step 6: Final answer
    x = 239,060.63

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Why These Related Problems?

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