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Finding the Third Proportional to 117,085.50 and 167,305.50

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Solution

The third proportional to 117,085.50 and 167,305.50 is: 239,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,085.50 : 167,305.50 = 167,305.50 : x
  2. Step 2: Convert to fraction form
    117,085.50/167,305.50 = 167,305.50/x
  3. Step 3: Cross multiply
    117,085.50x = 167,305.50 × 167,305.50
  4. Step 4: Simplify right side
    117,085.50x = 27,991,130,330.25
  5. Step 5: Solve for x
    x = 27,991,130,330.25/117,085.50
  6. Step 6: Final answer
    x = 239,065.73

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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.