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Finding the Third Proportional to 122,806 and 183,448.50

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Solution

The third proportional to 122,806 and 183,448.50 is: 274,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806 : 183,448.50 = 183,448.50 : x
  2. Step 2: Convert to fraction form
    122,806/183,448.50 = 183,448.50/x
  3. Step 3: Cross multiply
    122,806x = 183,448.50 × 183,448.50
  4. Step 4: Simplify right side
    122,806x = 33,653,352,152.25
  5. Step 5: Solve for x
    x = 33,653,352,152.25/122,806
  6. Step 6: Final answer
    x = 274,036.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.