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Finding the Third Proportional to 65,474 and 97,731

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Solution

The third proportional to 65,474 and 97,731 is: 145,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,474 : 97,731 = 97,731 : x
  2. Step 2: Convert to fraction form
    65,474/97,731 = 97,731/x
  3. Step 3: Cross multiply
    65,474x = 97,731 × 97,731
  4. Step 4: Simplify right side
    65,474x = 9,551,348,361
  5. Step 5: Solve for x
    x = 9,551,348,361/65,474
  6. Step 6: Final answer
    x = 145,880.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.