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Finding the Third Proportional to 77,793.75 and 113,288.63

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Solution

The third proportional to 77,793.75 and 113,288.63 is: 164,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793.75 : 113,288.63 = 113,288.63 : x
  2. Step 2: Convert to fraction form
    77,793.75/113,288.63 = 113,288.63/x
  3. Step 3: Cross multiply
    77,793.75x = 113,288.63 × 113,288.63
  4. Step 4: Simplify right side
    77,793.75x = 12,834,312,554.39
  5. Step 5: Solve for x
    x = 12,834,312,554.39/77,793.75
  6. Step 6: Final answer
    x = 164,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.