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Finding the Third Proportional to 57,114.50 and 122,981

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Solution

The third proportional to 57,114.50 and 122,981 is: 264,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114.50 : 122,981 = 122,981 : x
  2. Step 2: Convert to fraction form
    57,114.50/122,981 = 122,981/x
  3. Step 3: Cross multiply
    57,114.50x = 122,981 × 122,981
  4. Step 4: Simplify right side
    57,114.50x = 15,124,326,361
  5. Step 5: Solve for x
    x = 15,124,326,361/57,114.50
  6. Step 6: Final answer
    x = 264,807.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.