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Finding the Third Proportional to 57,603 and 88,997

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Solution

The third proportional to 57,603 and 88,997 is: 137,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603 : 88,997 = 88,997 : x
  2. Step 2: Convert to fraction form
    57,603/88,997 = 88,997/x
  3. Step 3: Cross multiply
    57,603x = 88,997 × 88,997
  4. Step 4: Simplify right side
    57,603x = 7,920,466,009
  5. Step 5: Solve for x
    x = 7,920,466,009/57,603
  6. Step 6: Final answer
    x = 137,500.93

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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.