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Finding the Third Proportional to 113,058 and 245,799

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Solution

The third proportional to 113,058 and 245,799 is: 534,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,058 : 245,799 = 245,799 : x
  2. Step 2: Convert to fraction form
    113,058/245,799 = 245,799/x
  3. Step 3: Cross multiply
    113,058x = 245,799 × 245,799
  4. Step 4: Simplify right side
    113,058x = 60,417,148,401
  5. Step 5: Solve for x
    x = 60,417,148,401/113,058
  6. Step 6: Final answer
    x = 534,390.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.