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Finding the Third Proportional to 114,291 and 127,048.50

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Solution

The third proportional to 114,291 and 127,048.50 is: 141,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,291 : 127,048.50 = 127,048.50 : x
  2. Step 2: Convert to fraction form
    114,291/127,048.50 = 127,048.50/x
  3. Step 3: Cross multiply
    114,291x = 127,048.50 × 127,048.50
  4. Step 4: Simplify right side
    114,291x = 16,141,321,352.25
  5. Step 5: Solve for x
    x = 16,141,321,352.25/114,291
  6. Step 6: Final answer
    x = 141,230.03

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.