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Finding the Third Proportional to 57,587 and 88,841

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Solution

The third proportional to 57,587 and 88,841 is: 137,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,587 : 88,841 = 88,841 : x
  2. Step 2: Convert to fraction form
    57,587/88,841 = 88,841/x
  3. Step 3: Cross multiply
    57,587x = 88,841 × 88,841
  4. Step 4: Simplify right side
    57,587x = 7,892,723,281
  5. Step 5: Solve for x
    x = 7,892,723,281/57,587
  6. Step 6: Final answer
    x = 137,057.38

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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.