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Finding the Third Proportional to 108,853.88 and 164,921.06

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Solution

The third proportional to 108,853.88 and 164,921.06 is: 249,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853.88 : 164,921.06 = 164,921.06 : x
  2. Step 2: Convert to fraction form
    108,853.88/164,921.06 = 164,921.06/x
  3. Step 3: Cross multiply
    108,853.88x = 164,921.06 × 164,921.06
  4. Step 4: Simplify right side
    108,853.88x = 27,198,956,856.13
  5. Step 5: Solve for x
    x = 27,198,956,856.13/108,853.88
  6. Step 6: Final answer
    x = 249,866.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.