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Finding the Third Proportional to 76,307.91 and 112,257.56

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Solution

The third proportional to 76,307.91 and 112,257.56 is: 165,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.91 : 112,257.56 = 112,257.56 : x
  2. Step 2: Convert to fraction form
    76,307.91/112,257.56 = 112,257.56/x
  3. Step 3: Cross multiply
    76,307.91x = 112,257.56 × 112,257.56
  4. Step 4: Simplify right side
    76,307.91x = 12,601,760,338.44
  5. Step 5: Solve for x
    x = 12,601,760,338.44/76,307.91
  6. Step 6: Final answer
    x = 165,143.57

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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.