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Finding the Third Proportional to 117,577 and 253,739

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Solution

The third proportional to 117,577 and 253,739 is: 547,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,577 : 253,739 = 253,739 : x
  2. Step 2: Convert to fraction form
    117,577/253,739 = 253,739/x
  3. Step 3: Cross multiply
    117,577x = 253,739 × 253,739
  4. Step 4: Simplify right side
    117,577x = 64,383,480,121
  5. Step 5: Solve for x
    x = 64,383,480,121/117,577
  6. Step 6: Final answer
    x = 547,585.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.