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Finding the Third Proportional to 54,696 and 78,214

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Solution

The third proportional to 54,696 and 78,214 is: 111,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696 : 78,214 = 78,214 : x
  2. Step 2: Convert to fraction form
    54,696/78,214 = 78,214/x
  3. Step 3: Cross multiply
    54,696x = 78,214 × 78,214
  4. Step 4: Simplify right side
    54,696x = 6,117,429,796
  5. Step 5: Solve for x
    x = 6,117,429,796/54,696
  6. Step 6: Final answer
    x = 111,844.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.