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Finding the Third Proportional to 77,162 and 115,924.50

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Solution

The third proportional to 77,162 and 115,924.50 is: 174,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162 : 115,924.50 = 115,924.50 : x
  2. Step 2: Convert to fraction form
    77,162/115,924.50 = 115,924.50/x
  3. Step 3: Cross multiply
    77,162x = 115,924.50 × 115,924.50
  4. Step 4: Simplify right side
    77,162x = 13,438,489,700.25
  5. Step 5: Solve for x
    x = 13,438,489,700.25/77,162
  6. Step 6: Final answer
    x = 174,159.43

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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.