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Finding the Third Proportional to 54,684 and 84,334

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Solution

The third proportional to 54,684 and 84,334 is: 130,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 84,334 = 84,334 : x
  2. Step 2: Convert to fraction form
    54,684/84,334 = 84,334/x
  3. Step 3: Cross multiply
    54,684x = 84,334 × 84,334
  4. Step 4: Simplify right side
    54,684x = 7,112,223,556
  5. Step 5: Solve for x
    x = 7,112,223,556/54,684
  6. Step 6: Final answer
    x = 130,060.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.