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Finding the Third Proportional to 46,137.09 and 72,279.84

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Solution

The third proportional to 46,137.09 and 72,279.84 is: 113,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,137.09 : 72,279.84 = 72,279.84 : x
  2. Step 2: Convert to fraction form
    46,137.09/72,279.84 = 72,279.84/x
  3. Step 3: Cross multiply
    46,137.09x = 72,279.84 × 72,279.84
  4. Step 4: Simplify right side
    46,137.09x = 5,224,375,812.52
  5. Step 5: Solve for x
    x = 5,224,375,812.52/46,137.09
  6. Step 6: Final answer
    x = 113,235.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.