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Finding the Third Proportional to 46,105.50 and 71,205.75

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Solution

The third proportional to 46,105.50 and 71,205.75 is: 109,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,105.50 : 71,205.75 = 71,205.75 : x
  2. Step 2: Convert to fraction form
    46,105.50/71,205.75 = 71,205.75/x
  3. Step 3: Cross multiply
    46,105.50x = 71,205.75 × 71,205.75
  4. Step 4: Simplify right side
    46,105.50x = 5,070,258,833.06
  5. Step 5: Solve for x
    x = 5,070,258,833.06/46,105.50
  6. Step 6: Final answer
    x = 109,970.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.