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Finding the Third Proportional to 103,460 and 165,301

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Solution

The third proportional to 103,460 and 165,301 is: 264,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,460 : 165,301 = 165,301 : x
  2. Step 2: Convert to fraction form
    103,460/165,301 = 165,301/x
  3. Step 3: Cross multiply
    103,460x = 165,301 × 165,301
  4. Step 4: Simplify right side
    103,460x = 27,324,420,601
  5. Step 5: Solve for x
    x = 27,324,420,601/103,460
  6. Step 6: Final answer
    x = 264,106.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.