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Finding the Third Proportional to 66,867.75 and 99,195.75

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Solution

The third proportional to 66,867.75 and 99,195.75 is: 147,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,867.75 : 99,195.75 = 99,195.75 : x
  2. Step 2: Convert to fraction form
    66,867.75/99,195.75 = 99,195.75/x
  3. Step 3: Cross multiply
    66,867.75x = 99,195.75 × 99,195.75
  4. Step 4: Simplify right side
    66,867.75x = 9,839,796,818.06
  5. Step 5: Solve for x
    x = 9,839,796,818.06/66,867.75
  6. Step 6: Final answer
    x = 147,153.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.