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Finding the Third Proportional to 75,258 and 116,592

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Solution

The third proportional to 75,258 and 116,592 is: 180,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 116,592 = 116,592 : x
  2. Step 2: Convert to fraction form
    75,258/116,592 = 116,592/x
  3. Step 3: Cross multiply
    75,258x = 116,592 × 116,592
  4. Step 4: Simplify right side
    75,258x = 13,593,694,464
  5. Step 5: Solve for x
    x = 13,593,694,464/75,258
  6. Step 6: Final answer
    x = 180,627.90

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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.