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Finding the Third Proportional to 65,532 and 103,928

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Solution

The third proportional to 65,532 and 103,928 is: 164,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,532 : 103,928 = 103,928 : x
  2. Step 2: Convert to fraction form
    65,532/103,928 = 103,928/x
  3. Step 3: Cross multiply
    65,532x = 103,928 × 103,928
  4. Step 4: Simplify right side
    65,532x = 10,801,029,184
  5. Step 5: Solve for x
    x = 10,801,029,184/65,532
  6. Step 6: Final answer
    x = 164,820.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.