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Finding the Third Proportional to 65,369 and 97,797

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Solution

The third proportional to 65,369 and 97,797 is: 146,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,369 : 97,797 = 97,797 : x
  2. Step 2: Convert to fraction form
    65,369/97,797 = 97,797/x
  3. Step 3: Cross multiply
    65,369x = 97,797 × 97,797
  4. Step 4: Simplify right side
    65,369x = 9,564,253,209
  5. Step 5: Solve for x
    x = 9,564,253,209/65,369
  6. Step 6: Final answer
    x = 146,311.76

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