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Finding the Third Proportional to 131,554 and 205,024

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Solution

The third proportional to 131,554 and 205,024 is: 319,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,554 : 205,024 = 205,024 : x
  2. Step 2: Convert to fraction form
    131,554/205,024 = 205,024/x
  3. Step 3: Cross multiply
    131,554x = 205,024 × 205,024
  4. Step 4: Simplify right side
    131,554x = 42,034,840,576
  5. Step 5: Solve for x
    x = 42,034,840,576/131,554
  6. Step 6: Final answer
    x = 319,525.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.