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Finding the Third Proportional to 45,368.25 and 72,063.75

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Solution

The third proportional to 45,368.25 and 72,063.75 is: 114,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,368.25 : 72,063.75 = 72,063.75 : x
  2. Step 2: Convert to fraction form
    45,368.25/72,063.75 = 72,063.75/x
  3. Step 3: Cross multiply
    45,368.25x = 72,063.75 × 72,063.75
  4. Step 4: Simplify right side
    45,368.25x = 5,193,184,064.06
  5. Step 5: Solve for x
    x = 5,193,184,064.06/45,368.25
  6. Step 6: Final answer
    x = 114,467.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.