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Finding the Third Proportional to 53,734 and 84,723

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Solution

The third proportional to 53,734 and 84,723 is: 133,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734 : 84,723 = 84,723 : x
  2. Step 2: Convert to fraction form
    53,734/84,723 = 84,723/x
  3. Step 3: Cross multiply
    53,734x = 84,723 × 84,723
  4. Step 4: Simplify right side
    53,734x = 7,177,986,729
  5. Step 5: Solve for x
    x = 7,177,986,729/53,734
  6. Step 6: Final answer
    x = 133,583.70

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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.