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Finding the Third Proportional to 53,918 and 116,998

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Solution

The third proportional to 53,918 and 116,998 is: 253,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,918 : 116,998 = 116,998 : x
  2. Step 2: Convert to fraction form
    53,918/116,998 = 116,998/x
  3. Step 3: Cross multiply
    53,918x = 116,998 × 116,998
  4. Step 4: Simplify right side
    53,918x = 13,688,532,004
  5. Step 5: Solve for x
    x = 13,688,532,004/53,918
  6. Step 6: Final answer
    x = 253,876.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.