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Finding the Third Proportional to 54,114 and 124,277

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Solution

The third proportional to 54,114 and 124,277 is: 285,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,114 : 124,277 = 124,277 : x
  2. Step 2: Convert to fraction form
    54,114/124,277 = 124,277/x
  3. Step 3: Cross multiply
    54,114x = 124,277 × 124,277
  4. Step 4: Simplify right side
    54,114x = 15,444,772,729
  5. Step 5: Solve for x
    x = 15,444,772,729/54,114
  6. Step 6: Final answer
    x = 285,411.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.