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Finding the Third Proportional to 117,565 and 168,051

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Solution

The third proportional to 117,565 and 168,051 is: 240,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565 : 168,051 = 168,051 : x
  2. Step 2: Convert to fraction form
    117,565/168,051 = 168,051/x
  3. Step 3: Cross multiply
    117,565x = 168,051 × 168,051
  4. Step 4: Simplify right side
    117,565x = 28,241,138,601
  5. Step 5: Solve for x
    x = 28,241,138,601/117,565
  6. Step 6: Final answer
    x = 240,217.23

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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.