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Finding the Third Proportional to 54,468 and 84,129

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Solution

The third proportional to 54,468 and 84,129 is: 129,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,468 : 84,129 = 84,129 : x
  2. Step 2: Convert to fraction form
    54,468/84,129 = 84,129/x
  3. Step 3: Cross multiply
    54,468x = 84,129 × 84,129
  4. Step 4: Simplify right side
    54,468x = 7,077,688,641
  5. Step 5: Solve for x
    x = 7,077,688,641/54,468
  6. Step 6: Final answer
    x = 129,942.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.