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Finding the Third Proportional to 108,126 and 252,588

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Solution

The third proportional to 108,126 and 252,588 is: 590,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,126 : 252,588 = 252,588 : x
  2. Step 2: Convert to fraction form
    108,126/252,588 = 252,588/x
  3. Step 3: Cross multiply
    108,126x = 252,588 × 252,588
  4. Step 4: Simplify right side
    108,126x = 63,800,697,744
  5. Step 5: Solve for x
    x = 63,800,697,744/108,126
  6. Step 6: Final answer
    x = 590,058.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.