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Finding the Third Proportional to 59,391 and 123,679.13

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Solution

The third proportional to 59,391 and 123,679.13 is: 257,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,391 : 123,679.13 = 123,679.13 : x
  2. Step 2: Convert to fraction form
    59,391/123,679.13 = 123,679.13/x
  3. Step 3: Cross multiply
    59,391x = 123,679.13 × 123,679.13
  4. Step 4: Simplify right side
    59,391x = 15,296,525,960.77
  5. Step 5: Solve for x
    x = 15,296,525,960.77/59,391
  6. Step 6: Final answer
    x = 257,556.30

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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.