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Finding the Third Proportional to 54,853 and 81,920

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Solution

The third proportional to 54,853 and 81,920 is: 122,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853 : 81,920 = 81,920 : x
  2. Step 2: Convert to fraction form
    54,853/81,920 = 81,920/x
  3. Step 3: Cross multiply
    54,853x = 81,920 × 81,920
  4. Step 4: Simplify right side
    54,853x = 6,710,886,400
  5. Step 5: Solve for x
    x = 6,710,886,400/54,853
  6. Step 6: Final answer
    x = 122,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.