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Finding the Third Proportional to 66,730.50 and 103,923

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Solution

The third proportional to 66,730.50 and 103,923 is: 161,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,730.50 : 103,923 = 103,923 : x
  2. Step 2: Convert to fraction form
    66,730.50/103,923 = 103,923/x
  3. Step 3: Cross multiply
    66,730.50x = 103,923 × 103,923
  4. Step 4: Simplify right side
    66,730.50x = 10,799,989,929
  5. Step 5: Solve for x
    x = 10,799,989,929/66,730.50
  6. Step 6: Final answer
    x = 161,844.88

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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.