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Finding the Third Proportional to 114,927.75 and 182,637

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Solution

The third proportional to 114,927.75 and 182,637 is: 290,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,927.75 : 182,637 = 182,637 : x
  2. Step 2: Convert to fraction form
    114,927.75/182,637 = 182,637/x
  3. Step 3: Cross multiply
    114,927.75x = 182,637 × 182,637
  4. Step 4: Simplify right side
    114,927.75x = 33,356,273,769
  5. Step 5: Solve for x
    x = 33,356,273,769/114,927.75
  6. Step 6: Final answer
    x = 290,236.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.