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Finding the Third Proportional to 65,414 and 97,863

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Solution

The third proportional to 65,414 and 97,863 is: 146,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414 : 97,863 = 97,863 : x
  2. Step 2: Convert to fraction form
    65,414/97,863 = 97,863/x
  3. Step 3: Cross multiply
    65,414x = 97,863 × 97,863
  4. Step 4: Simplify right side
    65,414x = 9,577,166,769
  5. Step 5: Solve for x
    x = 9,577,166,769/65,414
  6. Step 6: Final answer
    x = 146,408.52

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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.