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Finding the Third Proportional to 104,960.81 and 164,176.88

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Solution

The third proportional to 104,960.81 and 164,176.88 is: 256,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,960.81 : 164,176.88 = 164,176.88 : x
  2. Step 2: Convert to fraction form
    104,960.81/164,176.88 = 164,176.88/x
  3. Step 3: Cross multiply
    104,960.81x = 164,176.88 × 164,176.88
  4. Step 4: Simplify right side
    104,960.81x = 26,954,046,284.77
  5. Step 5: Solve for x
    x = 26,954,046,284.77/104,960.81
  6. Step 6: Final answer
    x = 256,801.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.