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Finding the Third Proportional to 45,999 and 101,824.88

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Solution

The third proportional to 45,999 and 101,824.88 is: 225,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,999 : 101,824.88 = 101,824.88 : x
  2. Step 2: Convert to fraction form
    45,999/101,824.88 = 101,824.88/x
  3. Step 3: Cross multiply
    45,999x = 101,824.88 × 101,824.88
  4. Step 4: Simplify right side
    45,999x = 10,368,305,168.77
  5. Step 5: Solve for x
    x = 10,368,305,168.77/45,999
  6. Step 6: Final answer
    x = 225,402.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.