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Finding the Third Proportional to 135,531 and 181,122.75

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Solution

The third proportional to 135,531 and 181,122.75 is: 242,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,531 : 181,122.75 = 181,122.75 : x
  2. Step 2: Convert to fraction form
    135,531/181,122.75 = 181,122.75/x
  3. Step 3: Cross multiply
    135,531x = 181,122.75 × 181,122.75
  4. Step 4: Simplify right side
    135,531x = 32,805,450,567.56
  5. Step 5: Solve for x
    x = 32,805,450,567.56/135,531
  6. Step 6: Final answer
    x = 242,051.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.