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Finding the Third Proportional to 122,086.13 and 253,527.75

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Solution

The third proportional to 122,086.13 and 253,527.75 is: 526,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,086.13 : 253,527.75 = 253,527.75 : x
  2. Step 2: Convert to fraction form
    122,086.13/253,527.75 = 253,527.75/x
  3. Step 3: Cross multiply
    122,086.13x = 253,527.75 × 253,527.75
  4. Step 4: Simplify right side
    122,086.13x = 64,276,320,020.06
  5. Step 5: Solve for x
    x = 64,276,320,020.06/122,086.13
  6. Step 6: Final answer
    x = 526,483.42

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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.