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Finding the Third Proportional to 85,796 and 129,324

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Solution

The third proportional to 85,796 and 129,324 is: 194,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,796 : 129,324 = 129,324 : x
  2. Step 2: Convert to fraction form
    85,796/129,324 = 129,324/x
  3. Step 3: Cross multiply
    85,796x = 129,324 × 129,324
  4. Step 4: Simplify right side
    85,796x = 16,724,696,976
  5. Step 5: Solve for x
    x = 16,724,696,976/85,796
  6. Step 6: Final answer
    x = 194,935.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.