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Finding the Third Proportional to 76,577 and 162,246

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Solution

The third proportional to 76,577 and 162,246 is: 343,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577 : 162,246 = 162,246 : x
  2. Step 2: Convert to fraction form
    76,577/162,246 = 162,246/x
  3. Step 3: Cross multiply
    76,577x = 162,246 × 162,246
  4. Step 4: Simplify right side
    76,577x = 26,323,764,516
  5. Step 5: Solve for x
    x = 26,323,764,516/76,577
  6. Step 6: Final answer
    x = 343,755.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.