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Finding the Third Proportional to 65,820 and 96,270

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Solution

The third proportional to 65,820 and 96,270 is: 140,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820 : 96,270 = 96,270 : x
  2. Step 2: Convert to fraction form
    65,820/96,270 = 96,270/x
  3. Step 3: Cross multiply
    65,820x = 96,270 × 96,270
  4. Step 4: Simplify right side
    65,820x = 9,267,912,900
  5. Step 5: Solve for x
    x = 9,267,912,900/65,820
  6. Step 6: Final answer
    x = 140,806.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.