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Finding the Third Proportional to 134,081 and 213,424

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Solution

The third proportional to 134,081 and 213,424 is: 339,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,081 : 213,424 = 213,424 : x
  2. Step 2: Convert to fraction form
    134,081/213,424 = 213,424/x
  3. Step 3: Cross multiply
    134,081x = 213,424 × 213,424
  4. Step 4: Simplify right side
    134,081x = 45,549,803,776
  5. Step 5: Solve for x
    x = 45,549,803,776/134,081
  6. Step 6: Final answer
    x = 339,718.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.