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Finding the Third Proportional to 124,870 and 271,914

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Solution

The third proportional to 124,870 and 271,914 is: 592,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,870 : 271,914 = 271,914 : x
  2. Step 2: Convert to fraction form
    124,870/271,914 = 271,914/x
  3. Step 3: Cross multiply
    124,870x = 271,914 × 271,914
  4. Step 4: Simplify right side
    124,870x = 73,937,223,396
  5. Step 5: Solve for x
    x = 73,937,223,396/124,870
  6. Step 6: Final answer
    x = 592,113.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.