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Finding the Third Proportional to 59,488 and 123,906

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Solution

The third proportional to 59,488 and 123,906 is: 258,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,488 : 123,906 = 123,906 : x
  2. Step 2: Convert to fraction form
    59,488/123,906 = 123,906/x
  3. Step 3: Cross multiply
    59,488x = 123,906 × 123,906
  4. Step 4: Simplify right side
    59,488x = 15,352,696,836
  5. Step 5: Solve for x
    x = 15,352,696,836/59,488
  6. Step 6: Final answer
    x = 258,080.57

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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.