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Finding the Third Proportional to 75,301 and 116,661

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Solution

The third proportional to 75,301 and 116,661 is: 180,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,301 : 116,661 = 116,661 : x
  2. Step 2: Convert to fraction form
    75,301/116,661 = 116,661/x
  3. Step 3: Cross multiply
    75,301x = 116,661 × 116,661
  4. Step 4: Simplify right side
    75,301x = 13,609,788,921
  5. Step 5: Solve for x
    x = 13,609,788,921/75,301
  6. Step 6: Final answer
    x = 180,738.49

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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.