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Finding the Third Proportional to 66,101.06 and 140,116.92

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Solution

The third proportional to 66,101.06 and 140,116.92 is: 297,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,101.06 : 140,116.92 = 140,116.92 : x
  2. Step 2: Convert to fraction form
    66,101.06/140,116.92 = 140,116.92/x
  3. Step 3: Cross multiply
    66,101.06x = 140,116.92 × 140,116.92
  4. Step 4: Simplify right side
    66,101.06x = 19,632,751,795.72
  5. Step 5: Solve for x
    x = 19,632,751,795.72/66,101.06
  6. Step 6: Final answer
    x = 297,011.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.