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Finding the Third Proportional to 53,856.38 and 85,239.75

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Solution

The third proportional to 53,856.38 and 85,239.75 is: 134,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.38 : 85,239.75 = 85,239.75 : x
  2. Step 2: Convert to fraction form
    53,856.38/85,239.75 = 85,239.75/x
  3. Step 3: Cross multiply
    53,856.38x = 85,239.75 × 85,239.75
  4. Step 4: Simplify right side
    53,856.38x = 7,265,814,980.06
  5. Step 5: Solve for x
    x = 7,265,814,980.06/53,856.38
  6. Step 6: Final answer
    x = 134,910.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.