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Finding the Third Proportional to 77,601.75 and 114,948

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Solution

The third proportional to 77,601.75 and 114,948 is: 170,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,601.75 : 114,948 = 114,948 : x
  2. Step 2: Convert to fraction form
    77,601.75/114,948 = 114,948/x
  3. Step 3: Cross multiply
    77,601.75x = 114,948 × 114,948
  4. Step 4: Simplify right side
    77,601.75x = 13,213,042,704
  5. Step 5: Solve for x
    x = 13,213,042,704/77,601.75
  6. Step 6: Final answer
    x = 170,267.33

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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.