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Finding the Third Proportional to 78,789.38 and 117,905.63

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Solution

The third proportional to 78,789.38 and 117,905.63 is: 176,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,789.38 : 117,905.63 = 117,905.63 : x
  2. Step 2: Convert to fraction form
    78,789.38/117,905.63 = 117,905.63/x
  3. Step 3: Cross multiply
    78,789.38x = 117,905.63 × 117,905.63
  4. Step 4: Simplify right side
    78,789.38x = 13,901,736,406.64
  5. Step 5: Solve for x
    x = 13,901,736,406.64/78,789.38
  6. Step 6: Final answer
    x = 176,441.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.