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Finding the Third Proportional to 79,492 and 170,500

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Solution

The third proportional to 79,492 and 170,500 is: 365,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,492 : 170,500 = 170,500 : x
  2. Step 2: Convert to fraction form
    79,492/170,500 = 170,500/x
  3. Step 3: Cross multiply
    79,492x = 170,500 × 170,500
  4. Step 4: Simplify right side
    79,492x = 29,070,250,000
  5. Step 5: Solve for x
    x = 29,070,250,000/79,492
  6. Step 6: Final answer
    x = 365,700.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.