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Finding the Third Proportional to 63,599 and 138,133

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Solution

The third proportional to 63,599 and 138,133 is: 300,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,599 : 138,133 = 138,133 : x
  2. Step 2: Convert to fraction form
    63,599/138,133 = 138,133/x
  3. Step 3: Cross multiply
    63,599x = 138,133 × 138,133
  4. Step 4: Simplify right side
    63,599x = 19,080,725,689
  5. Step 5: Solve for x
    x = 19,080,725,689/63,599
  6. Step 6: Final answer
    x = 300,016.13

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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.