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Finding the Third Proportional to 56,370 and 82,923

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Solution

The third proportional to 56,370 and 82,923 is: 121,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,370 : 82,923 = 82,923 : x
  2. Step 2: Convert to fraction form
    56,370/82,923 = 82,923/x
  3. Step 3: Cross multiply
    56,370x = 82,923 × 82,923
  4. Step 4: Simplify right side
    56,370x = 6,876,223,929
  5. Step 5: Solve for x
    x = 6,876,223,929/56,370
  6. Step 6: Final answer
    x = 121,983.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.