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Finding the Third Proportional to 75,032 and 164,006

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Solution

The third proportional to 75,032 and 164,006 is: 358,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032 : 164,006 = 164,006 : x
  2. Step 2: Convert to fraction form
    75,032/164,006 = 164,006/x
  3. Step 3: Cross multiply
    75,032x = 164,006 × 164,006
  4. Step 4: Simplify right side
    75,032x = 26,897,968,036
  5. Step 5: Solve for x
    x = 26,897,968,036/75,032
  6. Step 6: Final answer
    x = 358,486.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.