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Finding the Third Proportional to 53,456 and 84,634

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Solution

The third proportional to 53,456 and 84,634 is: 133,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,456 : 84,634 = 84,634 : x
  2. Step 2: Convert to fraction form
    53,456/84,634 = 84,634/x
  3. Step 3: Cross multiply
    53,456x = 84,634 × 84,634
  4. Step 4: Simplify right side
    53,456x = 7,162,913,956
  5. Step 5: Solve for x
    x = 7,162,913,956/53,456
  6. Step 6: Final answer
    x = 133,996.44

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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.