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Finding the Third Proportional to 27,143 and 57,202

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Solution

The third proportional to 27,143 and 57,202 is: 120,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143 : 57,202 = 57,202 : x
  2. Step 2: Convert to fraction form
    27,143/57,202 = 57,202/x
  3. Step 3: Cross multiply
    27,143x = 57,202 × 57,202
  4. Step 4: Simplify right side
    27,143x = 3,272,068,804
  5. Step 5: Solve for x
    x = 3,272,068,804/27,143
  6. Step 6: Final answer
    x = 120,549.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.