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Finding the Third Proportional to 103,750 and 164,695

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Solution

The third proportional to 103,750 and 164,695 is: 261,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,750 : 164,695 = 164,695 : x
  2. Step 2: Convert to fraction form
    103,750/164,695 = 164,695/x
  3. Step 3: Cross multiply
    103,750x = 164,695 × 164,695
  4. Step 4: Simplify right side
    103,750x = 27,124,443,025
  5. Step 5: Solve for x
    x = 27,124,443,025/103,750
  6. Step 6: Final answer
    x = 261,440.41

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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.