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Finding the Third Proportional to 57,062 and 112,585

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Solution

The third proportional to 57,062 and 112,585 is: 222,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,062 : 112,585 = 112,585 : x
  2. Step 2: Convert to fraction form
    57,062/112,585 = 112,585/x
  3. Step 3: Cross multiply
    57,062x = 112,585 × 112,585
  4. Step 4: Simplify right side
    57,062x = 12,675,382,225
  5. Step 5: Solve for x
    x = 12,675,382,225/57,062
  6. Step 6: Final answer
    x = 222,133.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.