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Finding the Third Proportional to 108,710 and 150,213

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Solution

The third proportional to 108,710 and 150,213 is: 207,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,710 : 150,213 = 150,213 : x
  2. Step 2: Convert to fraction form
    108,710/150,213 = 150,213/x
  3. Step 3: Cross multiply
    108,710x = 150,213 × 150,213
  4. Step 4: Simplify right side
    108,710x = 22,563,945,369
  5. Step 5: Solve for x
    x = 22,563,945,369/108,710
  6. Step 6: Final answer
    x = 207,560.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.