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Finding the Third Proportional to 56,822 and 84,133

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Solution

The third proportional to 56,822 and 84,133 is: 124,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,822 : 84,133 = 84,133 : x
  2. Step 2: Convert to fraction form
    56,822/84,133 = 84,133/x
  3. Step 3: Cross multiply
    56,822x = 84,133 × 84,133
  4. Step 4: Simplify right side
    56,822x = 7,078,361,689
  5. Step 5: Solve for x
    x = 7,078,361,689/56,822
  6. Step 6: Final answer
    x = 124,570.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.