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Finding the Third Proportional to 70,576 and 152,672

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Solution

The third proportional to 70,576 and 152,672 is: 330,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576 : 152,672 = 152,672 : x
  2. Step 2: Convert to fraction form
    70,576/152,672 = 152,672/x
  3. Step 3: Cross multiply
    70,576x = 152,672 × 152,672
  4. Step 4: Simplify right side
    70,576x = 23,308,739,584
  5. Step 5: Solve for x
    x = 23,308,739,584/70,576
  6. Step 6: Final answer
    x = 330,264.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.