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Finding the Third Proportional to 65,146 and 97,874

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Solution

The third proportional to 65,146 and 97,874 is: 147,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146 : 97,874 = 97,874 : x
  2. Step 2: Convert to fraction form
    65,146/97,874 = 97,874/x
  3. Step 3: Cross multiply
    65,146x = 97,874 × 97,874
  4. Step 4: Simplify right side
    65,146x = 9,579,319,876
  5. Step 5: Solve for x
    x = 9,579,319,876/65,146
  6. Step 6: Final answer
    x = 147,043.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.