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Finding the Third Proportional to 54,154 and 112,641

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Solution

The third proportional to 54,154 and 112,641 is: 234,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,154 : 112,641 = 112,641 : x
  2. Step 2: Convert to fraction form
    54,154/112,641 = 112,641/x
  3. Step 3: Cross multiply
    54,154x = 112,641 × 112,641
  4. Step 4: Simplify right side
    54,154x = 12,687,994,881
  5. Step 5: Solve for x
    x = 12,687,994,881/54,154
  6. Step 6: Final answer
    x = 234,294.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.