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Finding the Third Proportional to 77,625.56 and 113,882.06

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Solution

The third proportional to 77,625.56 and 113,882.06 is: 167,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,625.56 : 113,882.06 = 113,882.06 : x
  2. Step 2: Convert to fraction form
    77,625.56/113,882.06 = 113,882.06/x
  3. Step 3: Cross multiply
    77,625.56x = 113,882.06 × 113,882.06
  4. Step 4: Simplify right side
    77,625.56x = 12,969,124,159.25
  5. Step 5: Solve for x
    x = 12,969,124,159.25/77,625.56
  6. Step 6: Final answer
    x = 167,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.