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Finding the Third Proportional to 65,110 and 97,647

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Solution

The third proportional to 65,110 and 97,647 is: 146,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110 : 97,647 = 97,647 : x
  2. Step 2: Convert to fraction form
    65,110/97,647 = 97,647/x
  3. Step 3: Cross multiply
    65,110x = 97,647 × 97,647
  4. Step 4: Simplify right side
    65,110x = 9,534,936,609
  5. Step 5: Solve for x
    x = 9,534,936,609/65,110
  6. Step 6: Final answer
    x = 146,443.50

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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.