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Finding the Third Proportional to 53,957 and 81,684

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Solution

The third proportional to 53,957 and 81,684 is: 123,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,957 : 81,684 = 81,684 : x
  2. Step 2: Convert to fraction form
    53,957/81,684 = 81,684/x
  3. Step 3: Cross multiply
    53,957x = 81,684 × 81,684
  4. Step 4: Simplify right side
    53,957x = 6,672,275,856
  5. Step 5: Solve for x
    x = 6,672,275,856/53,957
  6. Step 6: Final answer
    x = 123,659.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.