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Finding the Third Proportional to 61,803 and 132,924

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Solution

The third proportional to 61,803 and 132,924 is: 285,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,803 : 132,924 = 132,924 : x
  2. Step 2: Convert to fraction form
    61,803/132,924 = 132,924/x
  3. Step 3: Cross multiply
    61,803x = 132,924 × 132,924
  4. Step 4: Simplify right side
    61,803x = 17,668,789,776
  5. Step 5: Solve for x
    x = 17,668,789,776/61,803
  6. Step 6: Final answer
    x = 285,888.87

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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.