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Finding the Third Proportional to 49,054.50 and 103,953

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Solution

The third proportional to 49,054.50 and 103,953 is: 220,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,054.50 : 103,953 = 103,953 : x
  2. Step 2: Convert to fraction form
    49,054.50/103,953 = 103,953/x
  3. Step 3: Cross multiply
    49,054.50x = 103,953 × 103,953
  4. Step 4: Simplify right side
    49,054.50x = 10,806,226,209
  5. Step 5: Solve for x
    x = 10,806,226,209/49,054.50
  6. Step 6: Final answer
    x = 220,290.21

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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.