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Finding the Third Proportional to 75,173 and 163,462

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Solution

The third proportional to 75,173 and 163,462 is: 355,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,173 : 163,462 = 163,462 : x
  2. Step 2: Convert to fraction form
    75,173/163,462 = 163,462/x
  3. Step 3: Cross multiply
    75,173x = 163,462 × 163,462
  4. Step 4: Simplify right side
    75,173x = 26,719,825,444
  5. Step 5: Solve for x
    x = 26,719,825,444/75,173
  6. Step 6: Final answer
    x = 355,444.45

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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.