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Finding the Third Proportional to 114,991.50 and 158,346

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Solution

The third proportional to 114,991.50 and 158,346 is: 218,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,991.50 : 158,346 = 158,346 : x
  2. Step 2: Convert to fraction form
    114,991.50/158,346 = 158,346/x
  3. Step 3: Cross multiply
    114,991.50x = 158,346 × 158,346
  4. Step 4: Simplify right side
    114,991.50x = 25,073,455,716
  5. Step 5: Solve for x
    x = 25,073,455,716/114,991.50
  6. Step 6: Final answer
    x = 218,046.17

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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.