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Finding the Third Proportional to 66,035.25 and 142,833.38

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Solution

The third proportional to 66,035.25 and 142,833.38 is: 308,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,035.25 : 142,833.38 = 142,833.38 : x
  2. Step 2: Convert to fraction form
    66,035.25/142,833.38 = 142,833.38/x
  3. Step 3: Cross multiply
    66,035.25x = 142,833.38 × 142,833.38
  4. Step 4: Simplify right side
    66,035.25x = 20,401,373,013.89
  5. Step 5: Solve for x
    x = 20,401,373,013.89/66,035.25
  6. Step 6: Final answer
    x = 308,946.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.