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Finding the Third Proportional to 100,570.50 and 149,114.88

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Solution

The third proportional to 100,570.50 and 149,114.88 is: 221,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.50 : 149,114.88 = 149,114.88 : x
  2. Step 2: Convert to fraction form
    100,570.50/149,114.88 = 149,114.88/x
  3. Step 3: Cross multiply
    100,570.50x = 149,114.88 × 149,114.88
  4. Step 4: Simplify right side
    100,570.50x = 22,235,245,946.27
  5. Step 5: Solve for x
    x = 22,235,245,946.27/100,570.50
  6. Step 6: Final answer
    x = 221,091.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.