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Finding the Third Proportional to 65,340 and 97,828

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Solution

The third proportional to 65,340 and 97,828 is: 146,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340 : 97,828 = 97,828 : x
  2. Step 2: Convert to fraction form
    65,340/97,828 = 97,828/x
  3. Step 3: Cross multiply
    65,340x = 97,828 × 97,828
  4. Step 4: Simplify right side
    65,340x = 9,570,317,584
  5. Step 5: Solve for x
    x = 9,570,317,584/65,340
  6. Step 6: Final answer
    x = 146,469.51

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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.