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Finding the Third Proportional to 75,775.50 and 112,189.50

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Solution

The third proportional to 75,775.50 and 112,189.50 is: 166,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,775.50 : 112,189.50 = 112,189.50 : x
  2. Step 2: Convert to fraction form
    75,775.50/112,189.50 = 112,189.50/x
  3. Step 3: Cross multiply
    75,775.50x = 112,189.50 × 112,189.50
  4. Step 4: Simplify right side
    75,775.50x = 12,586,483,910.25
  5. Step 5: Solve for x
    x = 12,586,483,910.25/75,775.50
  6. Step 6: Final answer
    x = 166,102.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.