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Finding the Third Proportional to 66,768.75 and 103,982.63

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Solution

The third proportional to 66,768.75 and 103,982.63 is: 161,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768.75 : 103,982.63 = 103,982.63 : x
  2. Step 2: Convert to fraction form
    66,768.75/103,982.63 = 103,982.63/x
  3. Step 3: Cross multiply
    66,768.75x = 103,982.63 × 103,982.63
  4. Step 4: Simplify right side
    66,768.75x = 10,812,386,301.89
  5. Step 5: Solve for x
    x = 10,812,386,301.89/66,768.75
  6. Step 6: Final answer
    x = 161,937.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.