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Finding the Third Proportional to 70,272 and 152,300

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Solution

The third proportional to 70,272 and 152,300 is: 330,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,272 : 152,300 = 152,300 : x
  2. Step 2: Convert to fraction form
    70,272/152,300 = 152,300/x
  3. Step 3: Cross multiply
    70,272x = 152,300 × 152,300
  4. Step 4: Simplify right side
    70,272x = 23,195,290,000
  5. Step 5: Solve for x
    x = 23,195,290,000/70,272
  6. Step 6: Final answer
    x = 330,078.69

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