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Finding the Third Proportional to 84,874.50 and 186,071.25

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Solution

The third proportional to 84,874.50 and 186,071.25 is: 407,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,874.50 : 186,071.25 = 186,071.25 : x
  2. Step 2: Convert to fraction form
    84,874.50/186,071.25 = 186,071.25/x
  3. Step 3: Cross multiply
    84,874.50x = 186,071.25 × 186,071.25
  4. Step 4: Simplify right side
    84,874.50x = 34,622,510,076.56
  5. Step 5: Solve for x
    x = 34,622,510,076.56/84,874.50
  6. Step 6: Final answer
    x = 407,925.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.