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Finding the Third Proportional to 65,314 and 97,718

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Solution

The third proportional to 65,314 and 97,718 is: 146,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314 : 97,718 = 97,718 : x
  2. Step 2: Convert to fraction form
    65,314/97,718 = 97,718/x
  3. Step 3: Cross multiply
    65,314x = 97,718 × 97,718
  4. Step 4: Simplify right side
    65,314x = 9,548,807,524
  5. Step 5: Solve for x
    x = 9,548,807,524/65,314
  6. Step 6: Final answer
    x = 146,198.48

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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.