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Finding the Third Proportional to 73,915.25 and 153,080.50

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Solution

The third proportional to 73,915.25 and 153,080.50 is: 317,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,915.25 : 153,080.50 = 153,080.50 : x
  2. Step 2: Convert to fraction form
    73,915.25/153,080.50 = 153,080.50/x
  3. Step 3: Cross multiply
    73,915.25x = 153,080.50 × 153,080.50
  4. Step 4: Simplify right side
    73,915.25x = 23,433,639,480.25
  5. Step 5: Solve for x
    x = 23,433,639,480.25/73,915.25
  6. Step 6: Final answer
    x = 317,033.89

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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.