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Finding the Third Proportional to 65,817.75 and 105,994.13

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Solution

The third proportional to 65,817.75 and 105,994.13 is: 170,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.75 : 105,994.13 = 105,994.13 : x
  2. Step 2: Convert to fraction form
    65,817.75/105,994.13 = 105,994.13/x
  3. Step 3: Cross multiply
    65,817.75x = 105,994.13 × 105,994.13
  4. Step 4: Simplify right side
    65,817.75x = 11,234,754,534.52
  5. Step 5: Solve for x
    x = 11,234,754,534.52/65,817.75
  6. Step 6: Final answer
    x = 170,694.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.