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Finding the Third Proportional to 61,682 and 133,076

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Solution

The third proportional to 61,682 and 133,076 is: 287,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,682 : 133,076 = 133,076 : x
  2. Step 2: Convert to fraction form
    61,682/133,076 = 133,076/x
  3. Step 3: Cross multiply
    61,682x = 133,076 × 133,076
  4. Step 4: Simplify right side
    61,682x = 17,709,221,776
  5. Step 5: Solve for x
    x = 17,709,221,776/61,682
  6. Step 6: Final answer
    x = 287,105.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.