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Finding the Third Proportional to 73,631.25 and 152,725.50

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Solution

The third proportional to 73,631.25 and 152,725.50 is: 316,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,631.25 : 152,725.50 = 152,725.50 : x
  2. Step 2: Convert to fraction form
    73,631.25/152,725.50 = 152,725.50/x
  3. Step 3: Cross multiply
    73,631.25x = 152,725.50 × 152,725.50
  4. Step 4: Simplify right side
    73,631.25x = 23,325,078,350.25
  5. Step 5: Solve for x
    x = 23,325,078,350.25/73,631.25
  6. Step 6: Final answer
    x = 316,782.32

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Why These Related Problems?

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