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Finding the Third Proportional to 103,590 and 159,964

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Solution

The third proportional to 103,590 and 159,964 is: 247,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,590 : 159,964 = 159,964 : x
  2. Step 2: Convert to fraction form
    103,590/159,964 = 159,964/x
  3. Step 3: Cross multiply
    103,590x = 159,964 × 159,964
  4. Step 4: Simplify right side
    103,590x = 25,588,481,296
  5. Step 5: Solve for x
    x = 25,588,481,296/103,590
  6. Step 6: Final answer
    x = 247,016.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.