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Finding the Third Proportional to 98,968.50 and 149,298.75

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Solution

The third proportional to 98,968.50 and 149,298.75 is: 225,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968.50 : 149,298.75 = 149,298.75 : x
  2. Step 2: Convert to fraction form
    98,968.50/149,298.75 = 149,298.75/x
  3. Step 3: Cross multiply
    98,968.50x = 149,298.75 × 149,298.75
  4. Step 4: Simplify right side
    98,968.50x = 22,290,116,751.56
  5. Step 5: Solve for x
    x = 22,290,116,751.56/98,968.50
  6. Step 6: Final answer
    x = 225,224.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.