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Finding the Third Proportional to 77,557.88 and 113,257.88

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Solution

The third proportional to 77,557.88 and 113,257.88 is: 165,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,557.88 : 113,257.88 = 113,257.88 : x
  2. Step 2: Convert to fraction form
    77,557.88/113,257.88 = 113,257.88/x
  3. Step 3: Cross multiply
    77,557.88x = 113,257.88 × 113,257.88
  4. Step 4: Simplify right side
    77,557.88x = 12,827,346,249.52
  5. Step 5: Solve for x
    x = 12,827,346,249.52/77,557.88
  6. Step 6: Final answer
    x = 165,390.64

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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.