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Finding the Third Proportional to 65,017 and 103,446

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Solution

The third proportional to 65,017 and 103,446 is: 164,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017 : 103,446 = 103,446 : x
  2. Step 2: Convert to fraction form
    65,017/103,446 = 103,446/x
  3. Step 3: Cross multiply
    65,017x = 103,446 × 103,446
  4. Step 4: Simplify right side
    65,017x = 10,701,074,916
  5. Step 5: Solve for x
    x = 10,701,074,916/65,017
  6. Step 6: Final answer
    x = 164,588.88

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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.