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Finding the Third Proportional to 78,006 and 119,824

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Solution

The third proportional to 78,006 and 119,824 is: 184,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006 : 119,824 = 119,824 : x
  2. Step 2: Convert to fraction form
    78,006/119,824 = 119,824/x
  3. Step 3: Cross multiply
    78,006x = 119,824 × 119,824
  4. Step 4: Simplify right side
    78,006x = 14,357,790,976
  5. Step 5: Solve for x
    x = 14,357,790,976/78,006
  6. Step 6: Final answer
    x = 184,060.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.