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Finding the Third Proportional to 57,590 and 88,845

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Solution

The third proportional to 57,590 and 88,845 is: 137,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,590 : 88,845 = 88,845 : x
  2. Step 2: Convert to fraction form
    57,590/88,845 = 88,845/x
  3. Step 3: Cross multiply
    57,590x = 88,845 × 88,845
  4. Step 4: Simplify right side
    57,590x = 7,893,434,025
  5. Step 5: Solve for x
    x = 7,893,434,025/57,590
  6. Step 6: Final answer
    x = 137,062.58

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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.