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Finding the Third Proportional to 124,814 and 269,310

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Solution

The third proportional to 124,814 and 269,310 is: 581,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,814 : 269,310 = 269,310 : x
  2. Step 2: Convert to fraction form
    124,814/269,310 = 269,310/x
  3. Step 3: Cross multiply
    124,814x = 269,310 × 269,310
  4. Step 4: Simplify right side
    124,814x = 72,527,876,100
  5. Step 5: Solve for x
    x = 72,527,876,100/124,814
  6. Step 6: Final answer
    x = 581,087.67

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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.