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Finding the Third Proportional to 75,492 and 163,278

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Solution

The third proportional to 75,492 and 163,278 is: 353,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492 : 163,278 = 163,278 : x
  2. Step 2: Convert to fraction form
    75,492/163,278 = 163,278/x
  3. Step 3: Cross multiply
    75,492x = 163,278 × 163,278
  4. Step 4: Simplify right side
    75,492x = 26,659,705,284
  5. Step 5: Solve for x
    x = 26,659,705,284/75,492
  6. Step 6: Final answer
    x = 353,146.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.