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Finding the Third Proportional to 77,783.63 and 116,179.31

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Solution

The third proportional to 77,783.63 and 116,179.31 is: 173,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.63 : 116,179.31 = 116,179.31 : x
  2. Step 2: Convert to fraction form
    77,783.63/116,179.31 = 116,179.31/x
  3. Step 3: Cross multiply
    77,783.63x = 116,179.31 × 116,179.31
  4. Step 4: Simplify right side
    77,783.63x = 13,497,632,652.97
  5. Step 5: Solve for x
    x = 13,497,632,652.97/77,783.63
  6. Step 6: Final answer
    x = 173,527.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.