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Finding the Third Proportional to 31,145 and 63,211

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Solution

The third proportional to 31,145 and 63,211 is: 128,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145 : 63,211 = 63,211 : x
  2. Step 2: Convert to fraction form
    31,145/63,211 = 63,211/x
  3. Step 3: Cross multiply
    31,145x = 63,211 × 63,211
  4. Step 4: Simplify right side
    31,145x = 3,995,630,521
  5. Step 5: Solve for x
    x = 3,995,630,521/31,145
  6. Step 6: Final answer
    x = 128,291.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.