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Finding the Third Proportional to 66,263.06 and 99,174.38

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Solution

The third proportional to 66,263.06 and 99,174.38 is: 148,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,263.06 : 99,174.38 = 99,174.38 : x
  2. Step 2: Convert to fraction form
    66,263.06/99,174.38 = 99,174.38/x
  3. Step 3: Cross multiply
    66,263.06x = 99,174.38 × 99,174.38
  4. Step 4: Simplify right side
    66,263.06x = 9,835,556,656.64
  5. Step 5: Solve for x
    x = 9,835,556,656.64/66,263.06
  6. Step 6: Final answer
    x = 148,431.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.