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Finding the Third Proportional to 109,239.75 and 164,860.88

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Solution

The third proportional to 109,239.75 and 164,860.88 is: 248,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,239.75 : 164,860.88 = 164,860.88 : x
  2. Step 2: Convert to fraction form
    109,239.75/164,860.88 = 164,860.88/x
  3. Step 3: Cross multiply
    109,239.75x = 164,860.88 × 164,860.88
  4. Step 4: Simplify right side
    109,239.75x = 27,179,108,105.77
  5. Step 5: Solve for x
    x = 27,179,108,105.77/109,239.75
  6. Step 6: Final answer
    x = 248,802.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.