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Finding the Third Proportional to 70,264 and 152,285

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Solution

The third proportional to 70,264 and 152,285 is: 330,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264 : 152,285 = 152,285 : x
  2. Step 2: Convert to fraction form
    70,264/152,285 = 152,285/x
  3. Step 3: Cross multiply
    70,264x = 152,285 × 152,285
  4. Step 4: Simplify right side
    70,264x = 23,190,721,225
  5. Step 5: Solve for x
    x = 23,190,721,225/70,264
  6. Step 6: Final answer
    x = 330,051.25

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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.