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Finding the Third Proportional to 67,324.29 and 102,385.27

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Solution

The third proportional to 67,324.29 and 102,385.27 is: 155,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,324.29 : 102,385.27 = 102,385.27 : x
  2. Step 2: Convert to fraction form
    67,324.29/102,385.27 = 102,385.27/x
  3. Step 3: Cross multiply
    67,324.29x = 102,385.27 × 102,385.27
  4. Step 4: Simplify right side
    67,324.29x = 10,482,742,617.10
  5. Step 5: Solve for x
    x = 10,482,742,617.10/67,324.29
  6. Step 6: Final answer
    x = 155,705.21

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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.