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Finding the Third Proportional to 84,891 and 124,327.50

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Solution

The third proportional to 84,891 and 124,327.50 is: 182,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891 : 124,327.50 = 124,327.50 : x
  2. Step 2: Convert to fraction form
    84,891/124,327.50 = 124,327.50/x
  3. Step 3: Cross multiply
    84,891x = 124,327.50 × 124,327.50
  4. Step 4: Simplify right side
    84,891x = 15,457,327,256.25
  5. Step 5: Solve for x
    x = 15,457,327,256.25/84,891
  6. Step 6: Final answer
    x = 182,084.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.