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Finding the Third Proportional to 108,053 and 251,201

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Solution

The third proportional to 108,053 and 251,201 is: 583,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,053 : 251,201 = 251,201 : x
  2. Step 2: Convert to fraction form
    108,053/251,201 = 251,201/x
  3. Step 3: Cross multiply
    108,053x = 251,201 × 251,201
  4. Step 4: Simplify right side
    108,053x = 63,101,942,401
  5. Step 5: Solve for x
    x = 63,101,942,401/108,053
  6. Step 6: Final answer
    x = 583,990.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.