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Finding the Third Proportional to 86,004 and 132,838

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Solution

The third proportional to 86,004 and 132,838 is: 205,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,004 : 132,838 = 132,838 : x
  2. Step 2: Convert to fraction form
    86,004/132,838 = 132,838/x
  3. Step 3: Cross multiply
    86,004x = 132,838 × 132,838
  4. Step 4: Simplify right side
    86,004x = 17,645,934,244
  5. Step 5: Solve for x
    x = 17,645,934,244/86,004
  6. Step 6: Final answer
    x = 205,175.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.