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Finding the Third Proportional to 62,323 and 133,389

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Solution

The third proportional to 62,323 and 133,389 is: 285,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,323 : 133,389 = 133,389 : x
  2. Step 2: Convert to fraction form
    62,323/133,389 = 133,389/x
  3. Step 3: Cross multiply
    62,323x = 133,389 × 133,389
  4. Step 4: Simplify right side
    62,323x = 17,792,625,321
  5. Step 5: Solve for x
    x = 17,792,625,321/62,323
  6. Step 6: Final answer
    x = 285,490.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.