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Finding the Third Proportional to 75,172 and 163,460

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Solution

The third proportional to 75,172 and 163,460 is: 355,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 163,460 = 163,460 : x
  2. Step 2: Convert to fraction form
    75,172/163,460 = 163,460/x
  3. Step 3: Cross multiply
    75,172x = 163,460 × 163,460
  4. Step 4: Simplify right side
    75,172x = 26,719,171,600
  5. Step 5: Solve for x
    x = 26,719,171,600/75,172
  6. Step 6: Final answer
    x = 355,440.48

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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.