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Finding the Third Proportional to 68,528.39 and 102,792.66

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Solution

The third proportional to 68,528.39 and 102,792.66 is: 154,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528.39 : 102,792.66 = 102,792.66 : x
  2. Step 2: Convert to fraction form
    68,528.39/102,792.66 = 102,792.66/x
  3. Step 3: Cross multiply
    68,528.39x = 102,792.66 × 102,792.66
  4. Step 4: Simplify right side
    68,528.39x = 10,566,330,178.93
  5. Step 5: Solve for x
    x = 10,566,330,178.93/68,528.39
  6. Step 6: Final answer
    x = 154,189.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.