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Finding the Third Proportional to 56,822 and 124,010

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Solution

The third proportional to 56,822 and 124,010 is: 270,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,822 : 124,010 = 124,010 : x
  2. Step 2: Convert to fraction form
    56,822/124,010 = 124,010/x
  3. Step 3: Cross multiply
    56,822x = 124,010 × 124,010
  4. Step 4: Simplify right side
    56,822x = 15,378,480,100
  5. Step 5: Solve for x
    x = 15,378,480,100/56,822
  6. Step 6: Final answer
    x = 270,643.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.