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Finding the Third Proportional to 46,197 and 71,671.50

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Solution

The third proportional to 46,197 and 71,671.50 is: 111,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,197 : 71,671.50 = 71,671.50 : x
  2. Step 2: Convert to fraction form
    46,197/71,671.50 = 71,671.50/x
  3. Step 3: Cross multiply
    46,197x = 71,671.50 × 71,671.50
  4. Step 4: Simplify right side
    46,197x = 5,136,803,912.25
  5. Step 5: Solve for x
    x = 5,136,803,912.25/46,197
  6. Step 6: Final answer
    x = 111,193.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.