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Finding the Third Proportional to 51,031 and 112,025

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Solution

The third proportional to 51,031 and 112,025 is: 245,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,031 : 112,025 = 112,025 : x
  2. Step 2: Convert to fraction form
    51,031/112,025 = 112,025/x
  3. Step 3: Cross multiply
    51,031x = 112,025 × 112,025
  4. Step 4: Simplify right side
    51,031x = 12,549,600,625
  5. Step 5: Solve for x
    x = 12,549,600,625/51,031
  6. Step 6: Final answer
    x = 245,921.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.