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Finding the Third Proportional to 36,129 and 87,033

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Solution

The third proportional to 36,129 and 87,033 is: 209,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,129 : 87,033 = 87,033 : x
  2. Step 2: Convert to fraction form
    36,129/87,033 = 87,033/x
  3. Step 3: Cross multiply
    36,129x = 87,033 × 87,033
  4. Step 4: Simplify right side
    36,129x = 7,574,743,089
  5. Step 5: Solve for x
    x = 7,574,743,089/36,129
  6. Step 6: Final answer
    x = 209,658.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.