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Finding the Third Proportional to 75,003 and 163,158

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Solution

The third proportional to 75,003 and 163,158 is: 354,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,003 : 163,158 = 163,158 : x
  2. Step 2: Convert to fraction form
    75,003/163,158 = 163,158/x
  3. Step 3: Cross multiply
    75,003x = 163,158 × 163,158
  4. Step 4: Simplify right side
    75,003x = 26,620,532,964
  5. Step 5: Solve for x
    x = 26,620,532,964/75,003
  6. Step 6: Final answer
    x = 354,926.24

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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.