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Finding the Third Proportional to 75,565 and 158,906

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Solution

The third proportional to 75,565 and 158,906 is: 334,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,565 : 158,906 = 158,906 : x
  2. Step 2: Convert to fraction form
    75,565/158,906 = 158,906/x
  3. Step 3: Cross multiply
    75,565x = 158,906 × 158,906
  4. Step 4: Simplify right side
    75,565x = 25,251,116,836
  5. Step 5: Solve for x
    x = 25,251,116,836/75,565
  6. Step 6: Final answer
    x = 334,164.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.