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Finding the Third Proportional to 66,497.06 and 144,060.75

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Solution

The third proportional to 66,497.06 and 144,060.75 is: 312,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,497.06 : 144,060.75 = 144,060.75 : x
  2. Step 2: Convert to fraction form
    66,497.06/144,060.75 = 144,060.75/x
  3. Step 3: Cross multiply
    66,497.06x = 144,060.75 × 144,060.75
  4. Step 4: Simplify right side
    66,497.06x = 20,753,499,690.56
  5. Step 5: Solve for x
    x = 20,753,499,690.56/66,497.06
  6. Step 6: Final answer
    x = 312,096.49

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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.