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Finding the Third Proportional to 61,532 and 133,738

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Solution

The third proportional to 61,532 and 133,738 is: 290,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,532 : 133,738 = 133,738 : x
  2. Step 2: Convert to fraction form
    61,532/133,738 = 133,738/x
  3. Step 3: Cross multiply
    61,532x = 133,738 × 133,738
  4. Step 4: Simplify right side
    61,532x = 17,885,852,644
  5. Step 5: Solve for x
    x = 17,885,852,644/61,532
  6. Step 6: Final answer
    x = 290,675.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.