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Finding the Third Proportional to 58,824 and 138,753

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Solution

The third proportional to 58,824 and 138,753 is: 327,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,824 : 138,753 = 138,753 : x
  2. Step 2: Convert to fraction form
    58,824/138,753 = 138,753/x
  3. Step 3: Cross multiply
    58,824x = 138,753 × 138,753
  4. Step 4: Simplify right side
    58,824x = 19,252,395,009
  5. Step 5: Solve for x
    x = 19,252,395,009/58,824
  6. Step 6: Final answer
    x = 327,288.10

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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.