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Finding the Third Proportional to 65,524 and 103,916

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Solution

The third proportional to 65,524 and 103,916 is: 164,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524 : 103,916 = 103,916 : x
  2. Step 2: Convert to fraction form
    65,524/103,916 = 103,916/x
  3. Step 3: Cross multiply
    65,524x = 103,916 × 103,916
  4. Step 4: Simplify right side
    65,524x = 10,798,535,056
  5. Step 5: Solve for x
    x = 10,798,535,056/65,524
  6. Step 6: Final answer
    x = 164,802.74

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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.