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Finding the Third Proportional to 56,934.75 and 120,875

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Solution

The third proportional to 56,934.75 and 120,875 is: 256,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934.75 : 120,875 = 120,875 : x
  2. Step 2: Convert to fraction form
    56,934.75/120,875 = 120,875/x
  3. Step 3: Cross multiply
    56,934.75x = 120,875 × 120,875
  4. Step 4: Simplify right side
    56,934.75x = 14,610,765,625
  5. Step 5: Solve for x
    x = 14,610,765,625/56,934.75
  6. Step 6: Final answer
    x = 256,622.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.