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Finding the Third Proportional to 103,970 and 165,286

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Solution

The third proportional to 103,970 and 165,286 is: 262,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970 : 165,286 = 165,286 : x
  2. Step 2: Convert to fraction form
    103,970/165,286 = 165,286/x
  3. Step 3: Cross multiply
    103,970x = 165,286 × 165,286
  4. Step 4: Simplify right side
    103,970x = 27,319,461,796
  5. Step 5: Solve for x
    x = 27,319,461,796/103,970
  6. Step 6: Final answer
    x = 262,762.93

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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.