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Finding the Third Proportional to 138,727 and 208,091

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Solution

The third proportional to 138,727 and 208,091 is: 312,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,727 : 208,091 = 208,091 : x
  2. Step 2: Convert to fraction form
    138,727/208,091 = 208,091/x
  3. Step 3: Cross multiply
    138,727x = 208,091 × 208,091
  4. Step 4: Simplify right side
    138,727x = 43,301,864,281
  5. Step 5: Solve for x
    x = 43,301,864,281/138,727
  6. Step 6: Final answer
    x = 312,137.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.