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Finding the Third Proportional to 100,563 and 149,104.88

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Solution

The third proportional to 100,563 and 149,104.88 is: 221,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563 : 149,104.88 = 149,104.88 : x
  2. Step 2: Convert to fraction form
    100,563/149,104.88 = 149,104.88/x
  3. Step 3: Cross multiply
    100,563x = 149,104.88 × 149,104.88
  4. Step 4: Simplify right side
    100,563x = 22,232,263,748.77
  5. Step 5: Solve for x
    x = 22,232,263,748.77/100,563
  6. Step 6: Final answer
    x = 221,077.97

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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.