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Finding the Third Proportional to 54,889 and 84,736

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Solution

The third proportional to 54,889 and 84,736 is: 130,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,889 : 84,736 = 84,736 : x
  2. Step 2: Convert to fraction form
    54,889/84,736 = 84,736/x
  3. Step 3: Cross multiply
    54,889x = 84,736 × 84,736
  4. Step 4: Simplify right side
    54,889x = 7,180,189,696
  5. Step 5: Solve for x
    x = 7,180,189,696/54,889
  6. Step 6: Final answer
    x = 130,812.91

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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.