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Finding the Third Proportional to 123,572 and 271,202

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Solution

The third proportional to 123,572 and 271,202 is: 595,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,572 : 271,202 = 271,202 : x
  2. Step 2: Convert to fraction form
    123,572/271,202 = 271,202/x
  3. Step 3: Cross multiply
    123,572x = 271,202 × 271,202
  4. Step 4: Simplify right side
    123,572x = 73,550,524,804
  5. Step 5: Solve for x
    x = 73,550,524,804/123,572
  6. Step 6: Final answer
    x = 595,203.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.