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Finding the Third Proportional to 65,201 and 103,634

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Solution

The third proportional to 65,201 and 103,634 is: 164,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201 : 103,634 = 103,634 : x
  2. Step 2: Convert to fraction form
    65,201/103,634 = 103,634/x
  3. Step 3: Cross multiply
    65,201x = 103,634 × 103,634
  4. Step 4: Simplify right side
    65,201x = 10,740,005,956
  5. Step 5: Solve for x
    x = 10,740,005,956/65,201
  6. Step 6: Final answer
    x = 164,721.49

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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.