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Finding the Third Proportional to 73,923 and 153,094.50

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Solution

The third proportional to 73,923 and 153,094.50 is: 317,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,923 : 153,094.50 = 153,094.50 : x
  2. Step 2: Convert to fraction form
    73,923/153,094.50 = 153,094.50/x
  3. Step 3: Cross multiply
    73,923x = 153,094.50 × 153,094.50
  4. Step 4: Simplify right side
    73,923x = 23,437,925,930.25
  5. Step 5: Solve for x
    x = 23,437,925,930.25/73,923
  6. Step 6: Final answer
    x = 317,058.64

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.