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Finding the Third Proportional to 122,086 and 253,527

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Solution

The third proportional to 122,086 and 253,527 is: 526,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,086 : 253,527 = 253,527 : x
  2. Step 2: Convert to fraction form
    122,086/253,527 = 253,527/x
  3. Step 3: Cross multiply
    122,086x = 253,527 × 253,527
  4. Step 4: Simplify right side
    122,086x = 64,275,939,729
  5. Step 5: Solve for x
    x = 64,275,939,729/122,086
  6. Step 6: Final answer
    x = 526,480.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.