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Finding the Third Proportional to 60,217 and 125,213

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Solution

The third proportional to 60,217 and 125,213 is: 260,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,217 : 125,213 = 125,213 : x
  2. Step 2: Convert to fraction form
    60,217/125,213 = 125,213/x
  3. Step 3: Cross multiply
    60,217x = 125,213 × 125,213
  4. Step 4: Simplify right side
    60,217x = 15,678,295,369
  5. Step 5: Solve for x
    x = 15,678,295,369/60,217
  6. Step 6: Final answer
    x = 260,363.28

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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.