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Finding the Third Proportional to 54,497 and 116,386

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Solution

The third proportional to 54,497 and 116,386 is: 248,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497 : 116,386 = 116,386 : x
  2. Step 2: Convert to fraction form
    54,497/116,386 = 116,386/x
  3. Step 3: Cross multiply
    54,497x = 116,386 × 116,386
  4. Step 4: Simplify right side
    54,497x = 13,545,700,996
  5. Step 5: Solve for x
    x = 13,545,700,996/54,497
  6. Step 6: Final answer
    x = 248,558.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.