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Finding the Third Proportional to 54,146 and 81,219

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Solution

The third proportional to 54,146 and 81,219 is: 121,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146 : 81,219 = 81,219 : x
  2. Step 2: Convert to fraction form
    54,146/81,219 = 81,219/x
  3. Step 3: Cross multiply
    54,146x = 81,219 × 81,219
  4. Step 4: Simplify right side
    54,146x = 6,596,525,961
  5. Step 5: Solve for x
    x = 6,596,525,961/54,146
  6. Step 6: Final answer
    x = 121,828.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.