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Finding the Third Proportional to 98,766 and 212,976

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Solution

The third proportional to 98,766 and 212,976 is: 459,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,766 : 212,976 = 212,976 : x
  2. Step 2: Convert to fraction form
    98,766/212,976 = 212,976/x
  3. Step 3: Cross multiply
    98,766x = 212,976 × 212,976
  4. Step 4: Simplify right side
    98,766x = 45,358,776,576
  5. Step 5: Solve for x
    x = 45,358,776,576/98,766
  6. Step 6: Final answer
    x = 459,254.97

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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.