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Finding the Third Proportional to 63,533 and 138,008

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Solution

The third proportional to 63,533 and 138,008 is: 299,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,533 : 138,008 = 138,008 : x
  2. Step 2: Convert to fraction form
    63,533/138,008 = 138,008/x
  3. Step 3: Cross multiply
    63,533x = 138,008 × 138,008
  4. Step 4: Simplify right side
    63,533x = 19,046,208,064
  5. Step 5: Solve for x
    x = 19,046,208,064/63,533
  6. Step 6: Final answer
    x = 299,784.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.