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Finding the Third Proportional to 119,619 and 183,622.50

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Solution

The third proportional to 119,619 and 183,622.50 is: 281,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,619 : 183,622.50 = 183,622.50 : x
  2. Step 2: Convert to fraction form
    119,619/183,622.50 = 183,622.50/x
  3. Step 3: Cross multiply
    119,619x = 183,622.50 × 183,622.50
  4. Step 4: Simplify right side
    119,619x = 33,717,222,506.25
  5. Step 5: Solve for x
    x = 33,717,222,506.25/119,619
  6. Step 6: Final answer
    x = 281,871.80

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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.