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Finding the Third Proportional to 98,196 and 149,121

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Solution

The third proportional to 98,196 and 149,121 is: 226,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196 : 149,121 = 149,121 : x
  2. Step 2: Convert to fraction form
    98,196/149,121 = 149,121/x
  3. Step 3: Cross multiply
    98,196x = 149,121 × 149,121
  4. Step 4: Simplify right side
    98,196x = 22,237,072,641
  5. Step 5: Solve for x
    x = 22,237,072,641/98,196
  6. Step 6: Final answer
    x = 226,455.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.