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Finding the Third Proportional to 129,085 and 185,918

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Solution

The third proportional to 129,085 and 185,918 is: 267,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,085 : 185,918 = 185,918 : x
  2. Step 2: Convert to fraction form
    129,085/185,918 = 185,918/x
  3. Step 3: Cross multiply
    129,085x = 185,918 × 185,918
  4. Step 4: Simplify right side
    129,085x = 34,565,502,724
  5. Step 5: Solve for x
    x = 34,565,502,724/129,085
  6. Step 6: Final answer
    x = 267,773.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.