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Finding the Third Proportional to 84,607 and 123,994

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Solution

The third proportional to 84,607 and 123,994 is: 181,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,607 : 123,994 = 123,994 : x
  2. Step 2: Convert to fraction form
    84,607/123,994 = 123,994/x
  3. Step 3: Cross multiply
    84,607x = 123,994 × 123,994
  4. Step 4: Simplify right side
    84,607x = 15,374,512,036
  5. Step 5: Solve for x
    x = 15,374,512,036/84,607
  6. Step 6: Final answer
    x = 181,716.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.