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Finding the Third Proportional to 75,033 and 164,008

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Solution

The third proportional to 75,033 and 164,008 is: 358,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,033 : 164,008 = 164,008 : x
  2. Step 2: Convert to fraction form
    75,033/164,008 = 164,008/x
  3. Step 3: Cross multiply
    75,033x = 164,008 × 164,008
  4. Step 4: Simplify right side
    75,033x = 26,898,624,064
  5. Step 5: Solve for x
    x = 26,898,624,064/75,033
  6. Step 6: Final answer
    x = 358,490.58

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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.