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Finding the Third Proportional to 57,883 and 122,871

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Solution

The third proportional to 57,883 and 122,871 is: 260,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,883 : 122,871 = 122,871 : x
  2. Step 2: Convert to fraction form
    57,883/122,871 = 122,871/x
  3. Step 3: Cross multiply
    57,883x = 122,871 × 122,871
  4. Step 4: Simplify right side
    57,883x = 15,097,282,641
  5. Step 5: Solve for x
    x = 15,097,282,641/57,883
  6. Step 6: Final answer
    x = 260,824.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.