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Finding the Third Proportional to 117,003.75 and 185,970

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Solution

The third proportional to 117,003.75 and 185,970 is: 295,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,003.75 : 185,970 = 185,970 : x
  2. Step 2: Convert to fraction form
    117,003.75/185,970 = 185,970/x
  3. Step 3: Cross multiply
    117,003.75x = 185,970 × 185,970
  4. Step 4: Simplify right side
    117,003.75x = 34,584,840,900
  5. Step 5: Solve for x
    x = 34,584,840,900/117,003.75
  6. Step 6: Final answer
    x = 295,587.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.