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Finding the Third Proportional to 98,546 and 151,635

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Solution

The third proportional to 98,546 and 151,635 is: 233,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546 : 151,635 = 151,635 : x
  2. Step 2: Convert to fraction form
    98,546/151,635 = 151,635/x
  3. Step 3: Cross multiply
    98,546x = 151,635 × 151,635
  4. Step 4: Simplify right side
    98,546x = 22,993,173,225
  5. Step 5: Solve for x
    x = 22,993,173,225/98,546
  6. Step 6: Final answer
    x = 233,324.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.