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Finding the Third Proportional to 75,111 and 163,059

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Solution

The third proportional to 75,111 and 163,059 is: 353,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111 : 163,059 = 163,059 : x
  2. Step 2: Convert to fraction form
    75,111/163,059 = 163,059/x
  3. Step 3: Cross multiply
    75,111x = 163,059 × 163,059
  4. Step 4: Simplify right side
    75,111x = 26,588,237,481
  5. Step 5: Solve for x
    x = 26,588,237,481/75,111
  6. Step 6: Final answer
    x = 353,985.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.