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Finding the Third Proportional to 76,326 and 112,282

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Solution

The third proportional to 76,326 and 112,282 is: 165,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,326 : 112,282 = 112,282 : x
  2. Step 2: Convert to fraction form
    76,326/112,282 = 112,282/x
  3. Step 3: Cross multiply
    76,326x = 112,282 × 112,282
  4. Step 4: Simplify right side
    76,326x = 12,607,247,524
  5. Step 5: Solve for x
    x = 12,607,247,524/76,326
  6. Step 6: Final answer
    x = 165,176.32

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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.