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Finding the Third Proportional to 66,066.75 and 102,016.13

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Solution

The third proportional to 66,066.75 and 102,016.13 is: 157,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,066.75 : 102,016.13 = 102,016.13 : x
  2. Step 2: Convert to fraction form
    66,066.75/102,016.13 = 102,016.13/x
  3. Step 3: Cross multiply
    66,066.75x = 102,016.13 × 102,016.13
  4. Step 4: Simplify right side
    66,066.75x = 10,407,289,760.02
  5. Step 5: Solve for x
    x = 10,407,289,760.02/66,066.75
  6. Step 6: Final answer
    x = 157,526.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.