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Finding the Third Proportional to 66,035.25 and 142,838.44

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Solution

The third proportional to 66,035.25 and 142,838.44 is: 308,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,035.25 : 142,838.44 = 142,838.44 : x
  2. Step 2: Convert to fraction form
    66,035.25/142,838.44 = 142,838.44/x
  3. Step 3: Cross multiply
    66,035.25x = 142,838.44 × 142,838.44
  4. Step 4: Simplify right side
    66,035.25x = 20,402,819,227.44
  5. Step 5: Solve for x
    x = 20,402,819,227.44/66,035.25
  6. Step 6: Final answer
    x = 308,968.61

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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.