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Finding the Third Proportional to 75,033 and 164,007

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Solution

The third proportional to 75,033 and 164,007 is: 358,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,033 : 164,007 = 164,007 : x
  2. Step 2: Convert to fraction form
    75,033/164,007 = 164,007/x
  3. Step 3: Cross multiply
    75,033x = 164,007 × 164,007
  4. Step 4: Simplify right side
    75,033x = 26,898,296,049
  5. Step 5: Solve for x
    x = 26,898,296,049/75,033
  6. Step 6: Final answer
    x = 358,486.21

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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.