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Finding the Third Proportional to 81,532 and 177,033

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Solution

The third proportional to 81,532 and 177,033 is: 384,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,532 : 177,033 = 177,033 : x
  2. Step 2: Convert to fraction form
    81,532/177,033 = 177,033/x
  3. Step 3: Cross multiply
    81,532x = 177,033 × 177,033
  4. Step 4: Simplify right side
    81,532x = 31,340,683,089
  5. Step 5: Solve for x
    x = 31,340,683,089/81,532
  6. Step 6: Final answer
    x = 384,397.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.