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Finding the Third Proportional to 63,299 and 137,937

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Solution

The third proportional to 63,299 and 137,937 is: 300,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,299 : 137,937 = 137,937 : x
  2. Step 2: Convert to fraction form
    63,299/137,937 = 137,937/x
  3. Step 3: Cross multiply
    63,299x = 137,937 × 137,937
  4. Step 4: Simplify right side
    63,299x = 19,026,615,969
  5. Step 5: Solve for x
    x = 19,026,615,969/63,299
  6. Step 6: Final answer
    x = 300,583.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.