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Finding the Third Proportional to 49,173 and 74,009.25

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Solution

The third proportional to 49,173 and 74,009.25 is: 111,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,173 : 74,009.25 = 74,009.25 : x
  2. Step 2: Convert to fraction form
    49,173/74,009.25 = 74,009.25/x
  3. Step 3: Cross multiply
    49,173x = 74,009.25 × 74,009.25
  4. Step 4: Simplify right side
    49,173x = 5,477,369,085.56
  5. Step 5: Solve for x
    x = 5,477,369,085.56/49,173
  6. Step 6: Final answer
    x = 111,389.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.