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Finding the Third Proportional to 66,339 and 105,505.88

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Solution

The third proportional to 66,339 and 105,505.88 is: 167,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,339 : 105,505.88 = 105,505.88 : x
  2. Step 2: Convert to fraction form
    66,339/105,505.88 = 105,505.88/x
  3. Step 3: Cross multiply
    66,339x = 105,505.88 × 105,505.88
  4. Step 4: Simplify right side
    66,339x = 11,131,489,659.52
  5. Step 5: Solve for x
    x = 11,131,489,659.52/66,339
  6. Step 6: Final answer
    x = 167,797.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.