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Finding the Third Proportional to 58,991 and 88,493

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Solution

The third proportional to 58,991 and 88,493 is: 132,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,991 : 88,493 = 88,493 : x
  2. Step 2: Convert to fraction form
    58,991/88,493 = 88,493/x
  3. Step 3: Cross multiply
    58,991x = 88,493 × 88,493
  4. Step 4: Simplify right side
    58,991x = 7,831,011,049
  5. Step 5: Solve for x
    x = 7,831,011,049/58,991
  6. Step 6: Final answer
    x = 132,749.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.