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Finding the Third Proportional to 73,812.94 and 154,642.50

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Solution

The third proportional to 73,812.94 and 154,642.50 is: 323,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,812.94 : 154,642.50 = 154,642.50 : x
  2. Step 2: Convert to fraction form
    73,812.94/154,642.50 = 154,642.50/x
  3. Step 3: Cross multiply
    73,812.94x = 154,642.50 × 154,642.50
  4. Step 4: Simplify right side
    73,812.94x = 23,914,302,806.25
  5. Step 5: Solve for x
    x = 23,914,302,806.25/73,812.94
  6. Step 6: Final answer
    x = 323,985.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.