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Finding the Third Proportional to 77,164.31 and 115,951.50

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Solution

The third proportional to 77,164.31 and 115,951.50 is: 174,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.31 : 115,951.50 = 115,951.50 : x
  2. Step 2: Convert to fraction form
    77,164.31/115,951.50 = 115,951.50/x
  3. Step 3: Cross multiply
    77,164.31x = 115,951.50 × 115,951.50
  4. Step 4: Simplify right side
    77,164.31x = 13,444,750,352.25
  5. Step 5: Solve for x
    x = 13,444,750,352.25/77,164.31
  6. Step 6: Final answer
    x = 174,235.34

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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.