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Finding the Third Proportional to 78,896 and 110,973

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Solution

The third proportional to 78,896 and 110,973 is: 156,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,896 : 110,973 = 110,973 : x
  2. Step 2: Convert to fraction form
    78,896/110,973 = 110,973/x
  3. Step 3: Cross multiply
    78,896x = 110,973 × 110,973
  4. Step 4: Simplify right side
    78,896x = 12,315,006,729
  5. Step 5: Solve for x
    x = 12,315,006,729/78,896
  6. Step 6: Final answer
    x = 156,091.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.