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Finding the Third Proportional to 75,492 and 167,076

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Solution

The third proportional to 75,492 and 167,076 is: 369,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492 : 167,076 = 167,076 : x
  2. Step 2: Convert to fraction form
    75,492/167,076 = 167,076/x
  3. Step 3: Cross multiply
    75,492x = 167,076 × 167,076
  4. Step 4: Simplify right side
    75,492x = 27,914,389,776
  5. Step 5: Solve for x
    x = 27,914,389,776/75,492
  6. Step 6: Final answer
    x = 369,766.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.