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Finding the Third Proportional to 75,087 and 116,397

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Solution

The third proportional to 75,087 and 116,397 is: 180,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087 : 116,397 = 116,397 : x
  2. Step 2: Convert to fraction form
    75,087/116,397 = 116,397/x
  3. Step 3: Cross multiply
    75,087x = 116,397 × 116,397
  4. Step 4: Simplify right side
    75,087x = 13,548,261,609
  5. Step 5: Solve for x
    x = 13,548,261,609/75,087
  6. Step 6: Final answer
    x = 180,434.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.