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Finding the Third Proportional to 78,853.50 and 190,026

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Solution

The third proportional to 78,853.50 and 190,026 is: 457,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,853.50 : 190,026 = 190,026 : x
  2. Step 2: Convert to fraction form
    78,853.50/190,026 = 190,026/x
  3. Step 3: Cross multiply
    78,853.50x = 190,026 × 190,026
  4. Step 4: Simplify right side
    78,853.50x = 36,109,880,676
  5. Step 5: Solve for x
    x = 36,109,880,676/78,853.50
  6. Step 6: Final answer
    x = 457,936.31

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.