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Finding the Third Proportional to 76,356 and 112,244

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Solution

The third proportional to 76,356 and 112,244 is: 164,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356 : 112,244 = 112,244 : x
  2. Step 2: Convert to fraction form
    76,356/112,244 = 112,244/x
  3. Step 3: Cross multiply
    76,356x = 112,244 × 112,244
  4. Step 4: Simplify right side
    76,356x = 12,598,715,536
  5. Step 5: Solve for x
    x = 12,598,715,536/76,356
  6. Step 6: Final answer
    x = 164,999.68

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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.