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Finding the Third Proportional to 45,054 and 63,375.75

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Solution

The third proportional to 45,054 and 63,375.75 is: 89,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,054 : 63,375.75 = 63,375.75 : x
  2. Step 2: Convert to fraction form
    45,054/63,375.75 = 63,375.75/x
  3. Step 3: Cross multiply
    45,054x = 63,375.75 × 63,375.75
  4. Step 4: Simplify right side
    45,054x = 4,016,485,688.06
  5. Step 5: Solve for x
    x = 4,016,485,688.06/45,054
  6. Step 6: Final answer
    x = 89,148.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.