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Finding the Third Proportional to 86,152.25 and 182,533

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Solution

The third proportional to 86,152.25 and 182,533 is: 386,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,152.25 : 182,533 = 182,533 : x
  2. Step 2: Convert to fraction form
    86,152.25/182,533 = 182,533/x
  3. Step 3: Cross multiply
    86,152.25x = 182,533 × 182,533
  4. Step 4: Simplify right side
    86,152.25x = 33,318,296,089
  5. Step 5: Solve for x
    x = 33,318,296,089/86,152.25
  6. Step 6: Final answer
    x = 386,737.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.