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Finding the Third Proportional to 53,966 and 83,775

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Solution

The third proportional to 53,966 and 83,775 is: 130,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,966 : 83,775 = 83,775 : x
  2. Step 2: Convert to fraction form
    53,966/83,775 = 83,775/x
  3. Step 3: Cross multiply
    53,966x = 83,775 × 83,775
  4. Step 4: Simplify right side
    53,966x = 7,018,250,625
  5. Step 5: Solve for x
    x = 7,018,250,625/53,966
  6. Step 6: Final answer
    x = 130,049.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.