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Finding the Third Proportional to 35,128.69 and 76,134.94

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Solution

The third proportional to 35,128.69 and 76,134.94 is: 165,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,128.69 : 76,134.94 = 76,134.94 : x
  2. Step 2: Convert to fraction form
    35,128.69/76,134.94 = 76,134.94/x
  3. Step 3: Cross multiply
    35,128.69x = 76,134.94 × 76,134.94
  4. Step 4: Simplify right side
    35,128.69x = 5,796,528,708.13
  5. Step 5: Solve for x
    x = 5,796,528,708.13/35,128.69
  6. Step 6: Final answer
    x = 165,008.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.