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Finding the Third Proportional to 56,114 and 120,974

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Solution

The third proportional to 56,114 and 120,974 is: 260,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114 : 120,974 = 120,974 : x
  2. Step 2: Convert to fraction form
    56,114/120,974 = 120,974/x
  3. Step 3: Cross multiply
    56,114x = 120,974 × 120,974
  4. Step 4: Simplify right side
    56,114x = 14,634,708,676
  5. Step 5: Solve for x
    x = 14,634,708,676/56,114
  6. Step 6: Final answer
    x = 260,803.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.