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Finding the Third Proportional to 57,568 and 88,813

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Solution

The third proportional to 57,568 and 88,813 is: 137,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568 : 88,813 = 88,813 : x
  2. Step 2: Convert to fraction form
    57,568/88,813 = 88,813/x
  3. Step 3: Cross multiply
    57,568x = 88,813 × 88,813
  4. Step 4: Simplify right side
    57,568x = 7,887,748,969
  5. Step 5: Solve for x
    x = 7,887,748,969/57,568
  6. Step 6: Final answer
    x = 137,016.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.