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Finding the Third Proportional to 75,010 and 163,172

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Solution

The third proportional to 75,010 and 163,172 is: 354,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,010 : 163,172 = 163,172 : x
  2. Step 2: Convert to fraction form
    75,010/163,172 = 163,172/x
  3. Step 3: Cross multiply
    75,010x = 163,172 × 163,172
  4. Step 4: Simplify right side
    75,010x = 26,625,101,584
  5. Step 5: Solve for x
    x = 26,625,101,584/75,010
  6. Step 6: Final answer
    x = 354,954.03

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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.