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Finding the Third Proportional to 74,930 and 97,324

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Solution

The third proportional to 74,930 and 97,324 is: 126,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,930 : 97,324 = 97,324 : x
  2. Step 2: Convert to fraction form
    74,930/97,324 = 97,324/x
  3. Step 3: Cross multiply
    74,930x = 97,324 × 97,324
  4. Step 4: Simplify right side
    74,930x = 9,471,960,976
  5. Step 5: Solve for x
    x = 9,471,960,976/74,930
  6. Step 6: Final answer
    x = 126,410.80

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.