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Finding the Third Proportional to 57,346 and 86,883

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Solution

The third proportional to 57,346 and 86,883 is: 131,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,346 : 86,883 = 86,883 : x
  2. Step 2: Convert to fraction form
    57,346/86,883 = 86,883/x
  3. Step 3: Cross multiply
    57,346x = 86,883 × 86,883
  4. Step 4: Simplify right side
    57,346x = 7,548,655,689
  5. Step 5: Solve for x
    x = 7,548,655,689/57,346
  6. Step 6: Final answer
    x = 131,633.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.