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Finding the Third Proportional to 114,615 and 149,769

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Solution

The third proportional to 114,615 and 149,769 is: 195,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,615 : 149,769 = 149,769 : x
  2. Step 2: Convert to fraction form
    114,615/149,769 = 149,769/x
  3. Step 3: Cross multiply
    114,615x = 149,769 × 149,769
  4. Step 4: Simplify right side
    114,615x = 22,430,753,361
  5. Step 5: Solve for x
    x = 22,430,753,361/114,615
  6. Step 6: Final answer
    x = 195,705.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.