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Finding the Third Proportional to 98,042 and 212,122

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Solution

The third proportional to 98,042 and 212,122 is: 458,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,042 : 212,122 = 212,122 : x
  2. Step 2: Convert to fraction form
    98,042/212,122 = 212,122/x
  3. Step 3: Cross multiply
    98,042x = 212,122 × 212,122
  4. Step 4: Simplify right side
    98,042x = 44,995,742,884
  5. Step 5: Solve for x
    x = 44,995,742,884/98,042
  6. Step 6: Final answer
    x = 458,943.54

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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.