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Finding the Third Proportional to 58,844 and 138,796

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Solution

The third proportional to 58,844 and 138,796 is: 327,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,844 : 138,796 = 138,796 : x
  2. Step 2: Convert to fraction form
    58,844/138,796 = 138,796/x
  3. Step 3: Cross multiply
    58,844x = 138,796 × 138,796
  4. Step 4: Simplify right side
    58,844x = 19,264,329,616
  5. Step 5: Solve for x
    x = 19,264,329,616/58,844
  6. Step 6: Final answer
    x = 327,379.68

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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.