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Finding the Third Proportional to 61,450 and 98,350

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Solution

The third proportional to 61,450 and 98,350 is: 157,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,450 : 98,350 = 98,350 : x
  2. Step 2: Convert to fraction form
    61,450/98,350 = 98,350/x
  3. Step 3: Cross multiply
    61,450x = 98,350 × 98,350
  4. Step 4: Simplify right side
    61,450x = 9,672,722,500
  5. Step 5: Solve for x
    x = 9,672,722,500/61,450
  6. Step 6: Final answer
    x = 157,408.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.