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Finding the Third Proportional to 66,498.75 and 101,736.56

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Solution

The third proportional to 66,498.75 and 101,736.56 is: 155,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498.75 : 101,736.56 = 101,736.56 : x
  2. Step 2: Convert to fraction form
    66,498.75/101,736.56 = 101,736.56/x
  3. Step 3: Cross multiply
    66,498.75x = 101,736.56 × 101,736.56
  4. Step 4: Simplify right side
    66,498.75x = 10,350,328,149.32
  5. Step 5: Solve for x
    x = 10,350,328,149.32/66,498.75
  6. Step 6: Final answer
    x = 155,646.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.