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Finding the Third Proportional to 73,664 and 113,040

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Solution

The third proportional to 73,664 and 113,040 is: 173,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,664 : 113,040 = 113,040 : x
  2. Step 2: Convert to fraction form
    73,664/113,040 = 113,040/x
  3. Step 3: Cross multiply
    73,664x = 113,040 × 113,040
  4. Step 4: Simplify right side
    73,664x = 12,778,041,600
  5. Step 5: Solve for x
    x = 12,778,041,600/73,664
  6. Step 6: Final answer
    x = 173,463.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.