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Finding the Third Proportional to 58,826 and 138,758

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Solution

The third proportional to 58,826 and 138,758 is: 327,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,826 : 138,758 = 138,758 : x
  2. Step 2: Convert to fraction form
    58,826/138,758 = 138,758/x
  3. Step 3: Cross multiply
    58,826x = 138,758 × 138,758
  4. Step 4: Simplify right side
    58,826x = 19,253,782,564
  5. Step 5: Solve for x
    x = 19,253,782,564/58,826
  6. Step 6: Final answer
    x = 327,300.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.