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Finding the Third Proportional to 76,944 and 120,276

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Solution

The third proportional to 76,944 and 120,276 is: 188,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944 : 120,276 = 120,276 : x
  2. Step 2: Convert to fraction form
    76,944/120,276 = 120,276/x
  3. Step 3: Cross multiply
    76,944x = 120,276 × 120,276
  4. Step 4: Simplify right side
    76,944x = 14,466,316,176
  5. Step 5: Solve for x
    x = 14,466,316,176/76,944
  6. Step 6: Final answer
    x = 188,010.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.