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Finding the Third Proportional to 57,856.50 and 120,321

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Solution

The third proportional to 57,856.50 and 120,321 is: 250,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856.50 : 120,321 = 120,321 : x
  2. Step 2: Convert to fraction form
    57,856.50/120,321 = 120,321/x
  3. Step 3: Cross multiply
    57,856.50x = 120,321 × 120,321
  4. Step 4: Simplify right side
    57,856.50x = 14,477,143,041
  5. Step 5: Solve for x
    x = 14,477,143,041/57,856.50
  6. Step 6: Final answer
    x = 250,225.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.