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Finding the Third Proportional to 97,928 and 129,324

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Solution

The third proportional to 97,928 and 129,324 is: 170,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,928 : 129,324 = 129,324 : x
  2. Step 2: Convert to fraction form
    97,928/129,324 = 129,324/x
  3. Step 3: Cross multiply
    97,928x = 129,324 × 129,324
  4. Step 4: Simplify right side
    97,928x = 16,724,696,976
  5. Step 5: Solve for x
    x = 16,724,696,976/97,928
  6. Step 6: Final answer
    x = 170,785.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.