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Finding the Third Proportional to 98,136 and 212,868

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Solution

The third proportional to 98,136 and 212,868 is: 461,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,136 : 212,868 = 212,868 : x
  2. Step 2: Convert to fraction form
    98,136/212,868 = 212,868/x
  3. Step 3: Cross multiply
    98,136x = 212,868 × 212,868
  4. Step 4: Simplify right side
    98,136x = 45,312,785,424
  5. Step 5: Solve for x
    x = 45,312,785,424/98,136
  6. Step 6: Final answer
    x = 461,734.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.