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Finding the Third Proportional to 84,854.25 and 125,814.38

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Solution

The third proportional to 84,854.25 and 125,814.38 is: 186,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.25 : 125,814.38 = 125,814.38 : x
  2. Step 2: Convert to fraction form
    84,854.25/125,814.38 = 125,814.38/x
  3. Step 3: Cross multiply
    84,854.25x = 125,814.38 × 125,814.38
  4. Step 4: Simplify right side
    84,854.25x = 15,829,256,956.64
  5. Step 5: Solve for x
    x = 15,829,256,956.64/84,854.25
  6. Step 6: Final answer
    x = 186,546.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.