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Finding the Third Proportional to 75,788 and 112,202

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Solution

The third proportional to 75,788 and 112,202 is: 166,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788 : 112,202 = 112,202 : x
  2. Step 2: Convert to fraction form
    75,788/112,202 = 112,202/x
  3. Step 3: Cross multiply
    75,788x = 112,202 × 112,202
  4. Step 4: Simplify right side
    75,788x = 12,589,288,804
  5. Step 5: Solve for x
    x = 12,589,288,804/75,788
  6. Step 6: Final answer
    x = 166,111.90

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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.