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Finding the Third Proportional to 75,033 and 160,109

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Solution

The third proportional to 75,033 and 160,109 is: 341,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,033 : 160,109 = 160,109 : x
  2. Step 2: Convert to fraction form
    75,033/160,109 = 160,109/x
  3. Step 3: Cross multiply
    75,033x = 160,109 × 160,109
  4. Step 4: Simplify right side
    75,033x = 25,634,891,881
  5. Step 5: Solve for x
    x = 25,634,891,881/75,033
  6. Step 6: Final answer
    x = 341,648.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.