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Finding the Third Proportional to 53,359 and 114,994

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Solution

The third proportional to 53,359 and 114,994 is: 247,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,359 : 114,994 = 114,994 : x
  2. Step 2: Convert to fraction form
    53,359/114,994 = 114,994/x
  3. Step 3: Cross multiply
    53,359x = 114,994 × 114,994
  4. Step 4: Simplify right side
    53,359x = 13,223,620,036
  5. Step 5: Solve for x
    x = 13,223,620,036/53,359
  6. Step 6: Final answer
    x = 247,823.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.