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Finding the Third Proportional to 71,898.50 and 154,205.50

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Solution

The third proportional to 71,898.50 and 154,205.50 is: 330,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,898.50 : 154,205.50 = 154,205.50 : x
  2. Step 2: Convert to fraction form
    71,898.50/154,205.50 = 154,205.50/x
  3. Step 3: Cross multiply
    71,898.50x = 154,205.50 × 154,205.50
  4. Step 4: Simplify right side
    71,898.50x = 23,779,336,230.25
  5. Step 5: Solve for x
    x = 23,779,336,230.25/71,898.50
  6. Step 6: Final answer
    x = 330,734.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.