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Finding the Third Proportional to 53,966 and 84,468

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Solution

The third proportional to 53,966 and 84,468 is: 132,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,966 : 84,468 = 84,468 : x
  2. Step 2: Convert to fraction form
    53,966/84,468 = 84,468/x
  3. Step 3: Cross multiply
    53,966x = 84,468 × 84,468
  4. Step 4: Simplify right side
    53,966x = 7,134,843,024
  5. Step 5: Solve for x
    x = 7,134,843,024/53,966
  6. Step 6: Final answer
    x = 132,209.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.