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Finding the Third Proportional to 57,254 and 84,223

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Solution

The third proportional to 57,254 and 84,223 is: 123,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,254 : 84,223 = 84,223 : x
  2. Step 2: Convert to fraction form
    57,254/84,223 = 84,223/x
  3. Step 3: Cross multiply
    57,254x = 84,223 × 84,223
  4. Step 4: Simplify right side
    57,254x = 7,093,513,729
  5. Step 5: Solve for x
    x = 7,093,513,729/57,254
  6. Step 6: Final answer
    x = 123,895.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.