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Finding the Third Proportional to 75,706 and 97,874

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Solution

The third proportional to 75,706 and 97,874 is: 126,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706 : 97,874 = 97,874 : x
  2. Step 2: Convert to fraction form
    75,706/97,874 = 97,874/x
  3. Step 3: Cross multiply
    75,706x = 97,874 × 97,874
  4. Step 4: Simplify right side
    75,706x = 9,579,319,876
  5. Step 5: Solve for x
    x = 9,579,319,876/75,706
  6. Step 6: Final answer
    x = 126,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.