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Finding the Third Proportional to 75,268 and 163,492

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Solution

The third proportional to 75,268 and 163,492 is: 355,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,268 : 163,492 = 163,492 : x
  2. Step 2: Convert to fraction form
    75,268/163,492 = 163,492/x
  3. Step 3: Cross multiply
    75,268x = 163,492 × 163,492
  4. Step 4: Simplify right side
    75,268x = 26,729,634,064
  5. Step 5: Solve for x
    x = 26,729,634,064/75,268
  6. Step 6: Final answer
    x = 355,126.14

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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.