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Finding the Third Proportional to 77,684.06 and 119,960.37

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Solution

The third proportional to 77,684.06 and 119,960.37 is: 185,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.06 : 119,960.37 = 119,960.37 : x
  2. Step 2: Convert to fraction form
    77,684.06/119,960.37 = 119,960.37/x
  3. Step 3: Cross multiply
    77,684.06x = 119,960.37 × 119,960.37
  4. Step 4: Simplify right side
    77,684.06x = 14,390,489,695.76
  5. Step 5: Solve for x
    x = 14,390,489,695.76/77,684.06
  6. Step 6: Final answer
    x = 185,243.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.