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Finding the Third Proportional to 65,428 and 103,771

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Solution

The third proportional to 65,428 and 103,771 is: 164,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428 : 103,771 = 103,771 : x
  2. Step 2: Convert to fraction form
    65,428/103,771 = 103,771/x
  3. Step 3: Cross multiply
    65,428x = 103,771 × 103,771
  4. Step 4: Simplify right side
    65,428x = 10,768,420,441
  5. Step 5: Solve for x
    x = 10,768,420,441/65,428
  6. Step 6: Final answer
    x = 164,584.28

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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.