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Finding the Third Proportional to 56,820 and 88,939

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Solution

The third proportional to 56,820 and 88,939 is: 139,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,820 : 88,939 = 88,939 : x
  2. Step 2: Convert to fraction form
    56,820/88,939 = 88,939/x
  3. Step 3: Cross multiply
    56,820x = 88,939 × 88,939
  4. Step 4: Simplify right side
    56,820x = 7,910,145,721
  5. Step 5: Solve for x
    x = 7,910,145,721/56,820
  6. Step 6: Final answer
    x = 139,214.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.