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Finding the Third Proportional to 61,688.25 and 132,732

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Solution

The third proportional to 61,688.25 and 132,732 is: 285,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,688.25 : 132,732 = 132,732 : x
  2. Step 2: Convert to fraction form
    61,688.25/132,732 = 132,732/x
  3. Step 3: Cross multiply
    61,688.25x = 132,732 × 132,732
  4. Step 4: Simplify right side
    61,688.25x = 17,617,783,824
  5. Step 5: Solve for x
    x = 17,617,783,824/61,688.25
  6. Step 6: Final answer
    x = 285,593.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.