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Finding the Third Proportional to 70,452 and 146,725.88

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Solution

The third proportional to 70,452 and 146,725.88 is: 305,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,452 : 146,725.88 = 146,725.88 : x
  2. Step 2: Convert to fraction form
    70,452/146,725.88 = 146,725.88/x
  3. Step 3: Cross multiply
    70,452x = 146,725.88 × 146,725.88
  4. Step 4: Simplify right side
    70,452x = 21,528,482,394.52
  5. Step 5: Solve for x
    x = 21,528,482,394.52/70,452
  6. Step 6: Final answer
    x = 305,576.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.