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Finding the Third Proportional to 56,356 and 83,994

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Solution

The third proportional to 56,356 and 83,994 is: 125,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356 : 83,994 = 83,994 : x
  2. Step 2: Convert to fraction form
    56,356/83,994 = 83,994/x
  3. Step 3: Cross multiply
    56,356x = 83,994 × 83,994
  4. Step 4: Simplify right side
    56,356x = 7,054,992,036
  5. Step 5: Solve for x
    x = 7,054,992,036/56,356
  6. Step 6: Final answer
    x = 125,186.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.