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Finding the Third Proportional to 100,948.50 and 147,041

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Solution

The third proportional to 100,948.50 and 147,041 is: 214,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948.50 : 147,041 = 147,041 : x
  2. Step 2: Convert to fraction form
    100,948.50/147,041 = 147,041/x
  3. Step 3: Cross multiply
    100,948.50x = 147,041 × 147,041
  4. Step 4: Simplify right side
    100,948.50x = 21,621,055,681
  5. Step 5: Solve for x
    x = 21,621,055,681/100,948.50
  6. Step 6: Final answer
    x = 214,179.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.