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Finding the Third Proportional to 39,105 and 60,507

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Solution

The third proportional to 39,105 and 60,507 is: 93,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105 : 60,507 = 60,507 : x
  2. Step 2: Convert to fraction form
    39,105/60,507 = 60,507/x
  3. Step 3: Cross multiply
    39,105x = 60,507 × 60,507
  4. Step 4: Simplify right side
    39,105x = 3,661,097,049
  5. Step 5: Solve for x
    x = 3,661,097,049/39,105
  6. Step 6: Final answer
    x = 93,622.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.