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Finding the Third Proportional to 53,888.67 and 81,578.53

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Solution

The third proportional to 53,888.67 and 81,578.53 is: 123,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,888.67 : 81,578.53 = 81,578.53 : x
  2. Step 2: Convert to fraction form
    53,888.67/81,578.53 = 81,578.53/x
  3. Step 3: Cross multiply
    53,888.67x = 81,578.53 × 81,578.53
  4. Step 4: Simplify right side
    53,888.67x = 6,655,056,760.91
  5. Step 5: Solve for x
    x = 6,655,056,760.91/53,888.67
  6. Step 6: Final answer
    x = 123,496.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.