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Finding the Third Proportional to 58,828 and 138,763

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Solution

The third proportional to 58,828 and 138,763 is: 327,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,828 : 138,763 = 138,763 : x
  2. Step 2: Convert to fraction form
    58,828/138,763 = 138,763/x
  3. Step 3: Cross multiply
    58,828x = 138,763 × 138,763
  4. Step 4: Simplify right side
    58,828x = 19,255,170,169
  5. Step 5: Solve for x
    x = 19,255,170,169/58,828
  6. Step 6: Final answer
    x = 327,313.02

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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.