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Finding the Third Proportional to 124,633 and 271,822

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Solution

The third proportional to 124,633 and 271,822 is: 592,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,633 : 271,822 = 271,822 : x
  2. Step 2: Convert to fraction form
    124,633/271,822 = 271,822/x
  3. Step 3: Cross multiply
    124,633x = 271,822 × 271,822
  4. Step 4: Simplify right side
    124,633x = 73,887,199,684
  5. Step 5: Solve for x
    x = 73,887,199,684/124,633
  6. Step 6: Final answer
    x = 592,838.17

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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.