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Finding the Third Proportional to 117,003 and 173,783.25

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Solution

The third proportional to 117,003 and 173,783.25 is: 258,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,003 : 173,783.25 = 173,783.25 : x
  2. Step 2: Convert to fraction form
    117,003/173,783.25 = 173,783.25/x
  3. Step 3: Cross multiply
    117,003x = 173,783.25 × 173,783.25
  4. Step 4: Simplify right side
    117,003x = 30,200,617,980.56
  5. Step 5: Solve for x
    x = 30,200,617,980.56/117,003
  6. Step 6: Final answer
    x = 258,118.32

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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.