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Finding the Third Proportional to 54,788 and 116,637

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Solution

The third proportional to 54,788 and 116,637 is: 248,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,788 : 116,637 = 116,637 : x
  2. Step 2: Convert to fraction form
    54,788/116,637 = 116,637/x
  3. Step 3: Cross multiply
    54,788x = 116,637 × 116,637
  4. Step 4: Simplify right side
    54,788x = 13,604,189,769
  5. Step 5: Solve for x
    x = 13,604,189,769/54,788
  6. Step 6: Final answer
    x = 248,306.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.