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Finding the Third Proportional to 59,803 and 123,372

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Solution

The third proportional to 59,803 and 123,372 is: 254,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,803 : 123,372 = 123,372 : x
  2. Step 2: Convert to fraction form
    59,803/123,372 = 123,372/x
  3. Step 3: Cross multiply
    59,803x = 123,372 × 123,372
  4. Step 4: Simplify right side
    59,803x = 15,220,650,384
  5. Step 5: Solve for x
    x = 15,220,650,384/59,803
  6. Step 6: Final answer
    x = 254,513.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.