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Finding the Third Proportional to 49,225.50 and 104,602.50

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Solution

The third proportional to 49,225.50 and 104,602.50 is: 222,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,225.50 : 104,602.50 = 104,602.50 : x
  2. Step 2: Convert to fraction form
    49,225.50/104,602.50 = 104,602.50/x
  3. Step 3: Cross multiply
    49,225.50x = 104,602.50 × 104,602.50
  4. Step 4: Simplify right side
    49,225.50x = 10,941,683,006.25
  5. Step 5: Solve for x
    x = 10,941,683,006.25/49,225.50
  6. Step 6: Final answer
    x = 222,276.73

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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.