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Finding the Third Proportional to 76,552.88 and 112,641.75

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Solution

The third proportional to 76,552.88 and 112,641.75 is: 165,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,552.88 : 112,641.75 = 112,641.75 : x
  2. Step 2: Convert to fraction form
    76,552.88/112,641.75 = 112,641.75/x
  3. Step 3: Cross multiply
    76,552.88x = 112,641.75 × 112,641.75
  4. Step 4: Simplify right side
    76,552.88x = 12,688,163,843.06
  5. Step 5: Solve for x
    x = 12,688,163,843.06/76,552.88
  6. Step 6: Final answer
    x = 165,743.79

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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.