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Finding the Third Proportional to 66,141.56 and 99,827.44

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Solution

The third proportional to 66,141.56 and 99,827.44 is: 150,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,141.56 : 99,827.44 = 99,827.44 : x
  2. Step 2: Convert to fraction form
    66,141.56/99,827.44 = 99,827.44/x
  3. Step 3: Cross multiply
    66,141.56x = 99,827.44 × 99,827.44
  4. Step 4: Simplify right side
    66,141.56x = 9,965,517,277.82
  5. Step 5: Solve for x
    x = 9,965,517,277.82/66,141.56
  6. Step 6: Final answer
    x = 150,669.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.