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Finding the Third Proportional to 117,082.13 and 167,307.19

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Solution

The third proportional to 117,082.13 and 167,307.19 is: 239,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,082.13 : 167,307.19 = 167,307.19 : x
  2. Step 2: Convert to fraction form
    117,082.13/167,307.19 = 167,307.19/x
  3. Step 3: Cross multiply
    117,082.13x = 167,307.19 × 167,307.19
  4. Step 4: Simplify right side
    117,082.13x = 27,991,694,989.16
  5. Step 5: Solve for x
    x = 27,991,694,989.16/117,082.13
  6. Step 6: Final answer
    x = 239,077.44

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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.