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Finding the Third Proportional to 114,621 and 158,374

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Solution

The third proportional to 114,621 and 158,374 is: 218,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,621 : 158,374 = 158,374 : x
  2. Step 2: Convert to fraction form
    114,621/158,374 = 158,374/x
  3. Step 3: Cross multiply
    114,621x = 158,374 × 158,374
  4. Step 4: Simplify right side
    114,621x = 25,082,323,876
  5. Step 5: Solve for x
    x = 25,082,323,876/114,621
  6. Step 6: Final answer
    x = 218,828.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.