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Finding the Third Proportional to 65,171 and 97,468

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Solution

The third proportional to 65,171 and 97,468 is: 145,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171 : 97,468 = 97,468 : x
  2. Step 2: Convert to fraction form
    65,171/97,468 = 97,468/x
  3. Step 3: Cross multiply
    65,171x = 97,468 × 97,468
  4. Step 4: Simplify right side
    65,171x = 9,500,011,024
  5. Step 5: Solve for x
    x = 9,500,011,024/65,171
  6. Step 6: Final answer
    x = 145,770.53

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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.