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Finding the Third Proportional to 57,050 and 85,752

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Solution

The third proportional to 57,050 and 85,752 is: 128,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 85,752 = 85,752 : x
  2. Step 2: Convert to fraction form
    57,050/85,752 = 85,752/x
  3. Step 3: Cross multiply
    57,050x = 85,752 × 85,752
  4. Step 4: Simplify right side
    57,050x = 7,353,405,504
  5. Step 5: Solve for x
    x = 7,353,405,504/57,050
  6. Step 6: Final answer
    x = 128,894.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.