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Finding the Third Proportional to 70,182.75 and 152,190

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Solution

The third proportional to 70,182.75 and 152,190 is: 330,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182.75 : 152,190 = 152,190 : x
  2. Step 2: Convert to fraction form
    70,182.75/152,190 = 152,190/x
  3. Step 3: Cross multiply
    70,182.75x = 152,190 × 152,190
  4. Step 4: Simplify right side
    70,182.75x = 23,161,796,100
  5. Step 5: Solve for x
    x = 23,161,796,100/70,182.75
  6. Step 6: Final answer
    x = 330,021.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.