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Finding the Third Proportional to 81,129 and 121,018

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Solution

The third proportional to 81,129 and 121,018 is: 180,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,129 : 121,018 = 121,018 : x
  2. Step 2: Convert to fraction form
    81,129/121,018 = 121,018/x
  3. Step 3: Cross multiply
    81,129x = 121,018 × 121,018
  4. Step 4: Simplify right side
    81,129x = 14,645,356,324
  5. Step 5: Solve for x
    x = 14,645,356,324/81,129
  6. Step 6: Final answer
    x = 180,519.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.