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Finding the Third Proportional to 54,896 and 84,747

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Solution

The third proportional to 54,896 and 84,747 is: 130,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896 : 84,747 = 84,747 : x
  2. Step 2: Convert to fraction form
    54,896/84,747 = 84,747/x
  3. Step 3: Cross multiply
    54,896x = 84,747 × 84,747
  4. Step 4: Simplify right side
    54,896x = 7,182,054,009
  5. Step 5: Solve for x
    x = 7,182,054,009/54,896
  6. Step 6: Final answer
    x = 130,830.19

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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.