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Finding the Third Proportional to 30,207 and 68,250

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Solution

The third proportional to 30,207 and 68,250 is: 154,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207 : 68,250 = 68,250 : x
  2. Step 2: Convert to fraction form
    30,207/68,250 = 68,250/x
  3. Step 3: Cross multiply
    30,207x = 68,250 × 68,250
  4. Step 4: Simplify right side
    30,207x = 4,658,062,500
  5. Step 5: Solve for x
    x = 4,658,062,500/30,207
  6. Step 6: Final answer
    x = 154,204.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.