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Finding the Third Proportional to 68,528.53 and 102,792.80

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Solution

The third proportional to 68,528.53 and 102,792.80 is: 154,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528.53 : 102,792.80 = 102,792.80 : x
  2. Step 2: Convert to fraction form
    68,528.53/102,792.80 = 102,792.80/x
  3. Step 3: Cross multiply
    68,528.53x = 102,792.80 × 102,792.80
  4. Step 4: Simplify right side
    68,528.53x = 10,566,359,089.39
  5. Step 5: Solve for x
    x = 10,566,359,089.39/68,528.53
  6. Step 6: Final answer
    x = 154,189.20

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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.