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Finding the Third Proportional to 65,425 and 103,767

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Solution

The third proportional to 65,425 and 103,767 is: 164,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,425 : 103,767 = 103,767 : x
  2. Step 2: Convert to fraction form
    65,425/103,767 = 103,767/x
  3. Step 3: Cross multiply
    65,425x = 103,767 × 103,767
  4. Step 4: Simplify right side
    65,425x = 10,767,590,289
  5. Step 5: Solve for x
    x = 10,767,590,289/65,425
  6. Step 6: Final answer
    x = 164,579.14

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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.