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Finding the Third Proportional to 66,154 and 99,827

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Solution

The third proportional to 66,154 and 99,827 is: 150,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,154 : 99,827 = 99,827 : x
  2. Step 2: Convert to fraction form
    66,154/99,827 = 99,827/x
  3. Step 3: Cross multiply
    66,154x = 99,827 × 99,827
  4. Step 4: Simplify right side
    66,154x = 9,965,429,929
  5. Step 5: Solve for x
    x = 9,965,429,929/66,154
  6. Step 6: Final answer
    x = 150,639.87

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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.