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Finding the Third Proportional to 53,894 and 84,981

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Solution

The third proportional to 53,894 and 84,981 is: 133,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,894 : 84,981 = 84,981 : x
  2. Step 2: Convert to fraction form
    53,894/84,981 = 84,981/x
  3. Step 3: Cross multiply
    53,894x = 84,981 × 84,981
  4. Step 4: Simplify right side
    53,894x = 7,221,770,361
  5. Step 5: Solve for x
    x = 7,221,770,361/53,894
  6. Step 6: Final answer
    x = 133,999.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.