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Finding the Third Proportional to 59,397 and 123,693

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Solution

The third proportional to 59,397 and 123,693 is: 257,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,397 : 123,693 = 123,693 : x
  2. Step 2: Convert to fraction form
    59,397/123,693 = 123,693/x
  3. Step 3: Cross multiply
    59,397x = 123,693 × 123,693
  4. Step 4: Simplify right side
    59,397x = 15,299,958,249
  5. Step 5: Solve for x
    x = 15,299,958,249/59,397
  6. Step 6: Final answer
    x = 257,588.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.