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Finding the Third Proportional to 103,422 and 164,663

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Solution

The third proportional to 103,422 and 164,663 is: 262,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,422 : 164,663 = 164,663 : x
  2. Step 2: Convert to fraction form
    103,422/164,663 = 164,663/x
  3. Step 3: Cross multiply
    103,422x = 164,663 × 164,663
  4. Step 4: Simplify right side
    103,422x = 27,113,903,569
  5. Step 5: Solve for x
    x = 27,113,903,569/103,422
  6. Step 6: Final answer
    x = 262,167.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.