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Finding the Third Proportional to 72,900 and 119,040

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Solution

The third proportional to 72,900 and 119,040 is: 194,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,900 : 119,040 = 119,040 : x
  2. Step 2: Convert to fraction form
    72,900/119,040 = 119,040/x
  3. Step 3: Cross multiply
    72,900x = 119,040 × 119,040
  4. Step 4: Simplify right side
    72,900x = 14,170,521,600
  5. Step 5: Solve for x
    x = 14,170,521,600/72,900
  6. Step 6: Final answer
    x = 194,383.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.