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Finding the Third Proportional to 65,223 and 97,980

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Solution

The third proportional to 65,223 and 97,980 is: 147,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223 : 97,980 = 97,980 : x
  2. Step 2: Convert to fraction form
    65,223/97,980 = 97,980/x
  3. Step 3: Cross multiply
    65,223x = 97,980 × 97,980
  4. Step 4: Simplify right side
    65,223x = 9,600,080,400
  5. Step 5: Solve for x
    x = 9,600,080,400/65,223
  6. Step 6: Final answer
    x = 147,188.57

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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.