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Finding the Third Proportional to 71,334 and 152,544

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Solution

The third proportional to 71,334 and 152,544 is: 326,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,334 : 152,544 = 152,544 : x
  2. Step 2: Convert to fraction form
    71,334/152,544 = 152,544/x
  3. Step 3: Cross multiply
    71,334x = 152,544 × 152,544
  4. Step 4: Simplify right side
    71,334x = 23,269,671,936
  5. Step 5: Solve for x
    x = 23,269,671,936/71,334
  6. Step 6: Final answer
    x = 326,207.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.