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Finding the Third Proportional to 72,904 and 119,046

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Solution

The third proportional to 72,904 and 119,046 is: 194,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904 : 119,046 = 119,046 : x
  2. Step 2: Convert to fraction form
    72,904/119,046 = 119,046/x
  3. Step 3: Cross multiply
    72,904x = 119,046 × 119,046
  4. Step 4: Simplify right side
    72,904x = 14,171,950,116
  5. Step 5: Solve for x
    x = 14,171,950,116/72,904
  6. Step 6: Final answer
    x = 194,391.94

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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.