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Finding the Third Proportional to 84,228.19 and 123,881.06

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Solution

The third proportional to 84,228.19 and 123,881.06 is: 182,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228.19 : 123,881.06 = 123,881.06 : x
  2. Step 2: Convert to fraction form
    84,228.19/123,881.06 = 123,881.06/x
  3. Step 3: Cross multiply
    84,228.19x = 123,881.06 × 123,881.06
  4. Step 4: Simplify right side
    84,228.19x = 15,346,517,646.13
  5. Step 5: Solve for x
    x = 15,346,517,646.13/84,228.19
  6. Step 6: Final answer
    x = 182,201.68

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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.