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Finding the Third Proportional to 54,313 and 116,887

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Solution

The third proportional to 54,313 and 116,887 is: 251,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,313 : 116,887 = 116,887 : x
  2. Step 2: Convert to fraction form
    54,313/116,887 = 116,887/x
  3. Step 3: Cross multiply
    54,313x = 116,887 × 116,887
  4. Step 4: Simplify right side
    54,313x = 13,662,570,769
  5. Step 5: Solve for x
    x = 13,662,570,769/54,313
  6. Step 6: Final answer
    x = 251,552.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.