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Finding the Third Proportional to 72,811.50 and 154,300.50

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Solution

The third proportional to 72,811.50 and 154,300.50 is: 326,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,811.50 : 154,300.50 = 154,300.50 : x
  2. Step 2: Convert to fraction form
    72,811.50/154,300.50 = 154,300.50/x
  3. Step 3: Cross multiply
    72,811.50x = 154,300.50 × 154,300.50
  4. Step 4: Simplify right side
    72,811.50x = 23,808,644,300.25
  5. Step 5: Solve for x
    x = 23,808,644,300.25/72,811.50
  6. Step 6: Final answer
    x = 326,990.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.