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Finding the Third Proportional to 34,616 and 75,784

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Solution

The third proportional to 34,616 and 75,784 is: 165,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616 : 75,784 = 75,784 : x
  2. Step 2: Convert to fraction form
    34,616/75,784 = 75,784/x
  3. Step 3: Cross multiply
    34,616x = 75,784 × 75,784
  4. Step 4: Simplify right side
    34,616x = 5,743,214,656
  5. Step 5: Solve for x
    x = 5,743,214,656/34,616
  6. Step 6: Final answer
    x = 165,912.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.