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Finding the Third Proportional to 68,724.62 and 106,412.29

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Solution

The third proportional to 68,724.62 and 106,412.29 is: 164,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,724.62 : 106,412.29 = 106,412.29 : x
  2. Step 2: Convert to fraction form
    68,724.62/106,412.29 = 106,412.29/x
  3. Step 3: Cross multiply
    68,724.62x = 106,412.29 × 106,412.29
  4. Step 4: Simplify right side
    68,724.62x = 11,323,574,743.93
  5. Step 5: Solve for x
    x = 11,323,574,743.93/68,724.62
  6. Step 6: Final answer
    x = 164,767.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.