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Finding the Third Proportional to 117,048 and 276,133.50

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Solution

The third proportional to 117,048 and 276,133.50 is: 651,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,048 : 276,133.50 = 276,133.50 : x
  2. Step 2: Convert to fraction form
    117,048/276,133.50 = 276,133.50/x
  3. Step 3: Cross multiply
    117,048x = 276,133.50 × 276,133.50
  4. Step 4: Simplify right side
    117,048x = 76,249,709,822.25
  5. Step 5: Solve for x
    x = 76,249,709,822.25/117,048
  6. Step 6: Final answer
    x = 651,439.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.