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Finding the Third Proportional to 61,938 and 132,621

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Solution

The third proportional to 61,938 and 132,621 is: 283,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 132,621 = 132,621 : x
  2. Step 2: Convert to fraction form
    61,938/132,621 = 132,621/x
  3. Step 3: Cross multiply
    61,938x = 132,621 × 132,621
  4. Step 4: Simplify right side
    61,938x = 17,588,329,641
  5. Step 5: Solve for x
    x = 17,588,329,641/61,938
  6. Step 6: Final answer
    x = 283,966.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.