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Finding the Third Proportional to 53,317 and 123,429

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Solution

The third proportional to 53,317 and 123,429 is: 285,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,317 : 123,429 = 123,429 : x
  2. Step 2: Convert to fraction form
    53,317/123,429 = 123,429/x
  3. Step 3: Cross multiply
    53,317x = 123,429 × 123,429
  4. Step 4: Simplify right side
    53,317x = 15,234,718,041
  5. Step 5: Solve for x
    x = 15,234,718,041/53,317
  6. Step 6: Final answer
    x = 285,738.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.