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Finding the Third Proportional to 66,669.75 and 110,116.69

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Solution

The third proportional to 66,669.75 and 110,116.69 is: 181,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,669.75 : 110,116.69 = 110,116.69 : x
  2. Step 2: Convert to fraction form
    66,669.75/110,116.69 = 110,116.69/x
  3. Step 3: Cross multiply
    66,669.75x = 110,116.69 × 110,116.69
  4. Step 4: Simplify right side
    66,669.75x = 12,125,684,865.97
  5. Step 5: Solve for x
    x = 12,125,684,865.97/66,669.75
  6. Step 6: Final answer
    x = 181,876.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.