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Finding the Third Proportional to 53,356 and 78,994

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Solution

The third proportional to 53,356 and 78,994 is: 116,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356 : 78,994 = 78,994 : x
  2. Step 2: Convert to fraction form
    53,356/78,994 = 78,994/x
  3. Step 3: Cross multiply
    53,356x = 78,994 × 78,994
  4. Step 4: Simplify right side
    53,356x = 6,240,052,036
  5. Step 5: Solve for x
    x = 6,240,052,036/53,356
  6. Step 6: Final answer
    x = 116,951.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.