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Finding the Third Proportional to 73,880.25 and 153,015.75

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Solution

The third proportional to 73,880.25 and 153,015.75 is: 316,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,880.25 : 153,015.75 = 153,015.75 : x
  2. Step 2: Convert to fraction form
    73,880.25/153,015.75 = 153,015.75/x
  3. Step 3: Cross multiply
    73,880.25x = 153,015.75 × 153,015.75
  4. Step 4: Simplify right side
    73,880.25x = 23,413,819,748.06
  5. Step 5: Solve for x
    x = 23,413,819,748.06/73,880.25
  6. Step 6: Final answer
    x = 316,915.82

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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.