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Finding the Third Proportional to 57,053 and 88,689

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Solution

The third proportional to 57,053 and 88,689 is: 137,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053 : 88,689 = 88,689 : x
  2. Step 2: Convert to fraction form
    57,053/88,689 = 88,689/x
  3. Step 3: Cross multiply
    57,053x = 88,689 × 88,689
  4. Step 4: Simplify right side
    57,053x = 7,865,738,721
  5. Step 5: Solve for x
    x = 7,865,738,721/57,053
  6. Step 6: Final answer
    x = 137,867.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.