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Finding the Third Proportional to 53,444 and 84,622

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Solution

The third proportional to 53,444 and 84,622 is: 133,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444 : 84,622 = 84,622 : x
  2. Step 2: Convert to fraction form
    53,444/84,622 = 84,622/x
  3. Step 3: Cross multiply
    53,444x = 84,622 × 84,622
  4. Step 4: Simplify right side
    53,444x = 7,160,882,884
  5. Step 5: Solve for x
    x = 7,160,882,884/53,444
  6. Step 6: Final answer
    x = 133,988.53

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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.