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Finding the Third Proportional to 70,567 and 152,212

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Solution

The third proportional to 70,567 and 152,212 is: 328,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,567 : 152,212 = 152,212 : x
  2. Step 2: Convert to fraction form
    70,567/152,212 = 152,212/x
  3. Step 3: Cross multiply
    70,567x = 152,212 × 152,212
  4. Step 4: Simplify right side
    70,567x = 23,168,492,944
  5. Step 5: Solve for x
    x = 23,168,492,944/70,567
  6. Step 6: Final answer
    x = 328,319.09

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