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Finding the Third Proportional to 65,059 and 97,041

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Solution

The third proportional to 65,059 and 97,041 is: 144,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059 : 97,041 = 97,041 : x
  2. Step 2: Convert to fraction form
    65,059/97,041 = 97,041/x
  3. Step 3: Cross multiply
    65,059x = 97,041 × 97,041
  4. Step 4: Simplify right side
    65,059x = 9,416,955,681
  5. Step 5: Solve for x
    x = 9,416,955,681/65,059
  6. Step 6: Final answer
    x = 144,744.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.