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Finding the Third Proportional to 65,436 and 103,781

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Solution

The third proportional to 65,436 and 103,781 is: 164,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,436 : 103,781 = 103,781 : x
  2. Step 2: Convert to fraction form
    65,436/103,781 = 103,781/x
  3. Step 3: Cross multiply
    65,436x = 103,781 × 103,781
  4. Step 4: Simplify right side
    65,436x = 10,770,495,961
  5. Step 5: Solve for x
    x = 10,770,495,961/65,436
  6. Step 6: Final answer
    x = 164,595.88

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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.