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Finding the Third Proportional to 66,295.13 and 100,405.69

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Solution

The third proportional to 66,295.13 and 100,405.69 is: 152,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,295.13 : 100,405.69 = 100,405.69 : x
  2. Step 2: Convert to fraction form
    66,295.13/100,405.69 = 100,405.69/x
  3. Step 3: Cross multiply
    66,295.13x = 100,405.69 × 100,405.69
  4. Step 4: Simplify right side
    66,295.13x = 10,081,302,082.35
  5. Step 5: Solve for x
    x = 10,081,302,082.35/66,295.13
  6. Step 6: Final answer
    x = 152,067.02

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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.