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Finding the Third Proportional to 77,309.44 and 113,192.44

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Solution

The third proportional to 77,309.44 and 113,192.44 is: 165,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.44 : 113,192.44 = 113,192.44 : x
  2. Step 2: Convert to fraction form
    77,309.44/113,192.44 = 113,192.44/x
  3. Step 3: Cross multiply
    77,309.44x = 113,192.44 × 113,192.44
  4. Step 4: Simplify right side
    77,309.44x = 12,812,527,907.19
  5. Step 5: Solve for x
    x = 12,812,527,907.19/77,309.44
  6. Step 6: Final answer
    x = 165,730.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.