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Finding the Third Proportional to 61,695 and 132,588

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Solution

The third proportional to 61,695 and 132,588 is: 284,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,695 : 132,588 = 132,588 : x
  2. Step 2: Convert to fraction form
    61,695/132,588 = 132,588/x
  3. Step 3: Cross multiply
    61,695x = 132,588 × 132,588
  4. Step 4: Simplify right side
    61,695x = 17,579,577,744
  5. Step 5: Solve for x
    x = 17,579,577,744/61,695
  6. Step 6: Final answer
    x = 284,943.31

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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.