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Finding the Third Proportional to 124,321 and 271,414

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Solution

The third proportional to 124,321 and 271,414 is: 592,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,321 : 271,414 = 271,414 : x
  2. Step 2: Convert to fraction form
    124,321/271,414 = 271,414/x
  3. Step 3: Cross multiply
    124,321x = 271,414 × 271,414
  4. Step 4: Simplify right side
    124,321x = 73,665,559,396
  5. Step 5: Solve for x
    x = 73,665,559,396/124,321
  6. Step 6: Final answer
    x = 592,543.17

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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.