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Finding the Third Proportional to 75,006 and 163,164

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Solution

The third proportional to 75,006 and 163,164 is: 354,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,006 : 163,164 = 163,164 : x
  2. Step 2: Convert to fraction form
    75,006/163,164 = 163,164/x
  3. Step 3: Cross multiply
    75,006x = 163,164 × 163,164
  4. Step 4: Simplify right side
    75,006x = 26,622,490,896
  5. Step 5: Solve for x
    x = 26,622,490,896/75,006
  6. Step 6: Final answer
    x = 354,938.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.