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Finding the Third Proportional to 98,073 and 212,400

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Solution

The third proportional to 98,073 and 212,400 is: 460,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073 : 212,400 = 212,400 : x
  2. Step 2: Convert to fraction form
    98,073/212,400 = 212,400/x
  3. Step 3: Cross multiply
    98,073x = 212,400 × 212,400
  4. Step 4: Simplify right side
    98,073x = 45,113,760,000
  5. Step 5: Solve for x
    x = 45,113,760,000/98,073
  6. Step 6: Final answer
    x = 460,001.84

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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.