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Finding the Third Proportional to 124,032 and 271,710

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Solution

The third proportional to 124,032 and 271,710 is: 595,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,032 : 271,710 = 271,710 : x
  2. Step 2: Convert to fraction form
    124,032/271,710 = 271,710/x
  3. Step 3: Cross multiply
    124,032x = 271,710 × 271,710
  4. Step 4: Simplify right side
    124,032x = 73,826,324,100
  5. Step 5: Solve for x
    x = 73,826,324,100/124,032
  6. Step 6: Final answer
    x = 595,219.98

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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.