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Finding the Third Proportional to 78,843 and 106,225.50

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Solution

The third proportional to 78,843 and 106,225.50 is: 143,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843 : 106,225.50 = 106,225.50 : x
  2. Step 2: Convert to fraction form
    78,843/106,225.50 = 106,225.50/x
  3. Step 3: Cross multiply
    78,843x = 106,225.50 × 106,225.50
  4. Step 4: Simplify right side
    78,843x = 11,283,856,850.25
  5. Step 5: Solve for x
    x = 11,283,856,850.25/78,843
  6. Step 6: Final answer
    x = 143,118.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.