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Finding the Third Proportional to 108,024 and 158,388

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Solution

The third proportional to 108,024 and 158,388 is: 232,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,024 : 158,388 = 158,388 : x
  2. Step 2: Convert to fraction form
    108,024/158,388 = 158,388/x
  3. Step 3: Cross multiply
    108,024x = 158,388 × 158,388
  4. Step 4: Simplify right side
    108,024x = 25,086,758,544
  5. Step 5: Solve for x
    x = 25,086,758,544/108,024
  6. Step 6: Final answer
    x = 232,233.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.