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Finding the Third Proportional to 66,288.09 and 144,102.66

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Solution

The third proportional to 66,288.09 and 144,102.66 is: 313,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,288.09 : 144,102.66 = 144,102.66 : x
  2. Step 2: Convert to fraction form
    66,288.09/144,102.66 = 144,102.66/x
  3. Step 3: Cross multiply
    66,288.09x = 144,102.66 × 144,102.66
  4. Step 4: Simplify right side
    66,288.09x = 20,765,575,538.31
  5. Step 5: Solve for x
    x = 20,765,575,538.31/66,288.09
  6. Step 6: Final answer
    x = 313,262.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.