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Finding the Third Proportional to 127,075.50 and 276,284.25

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Solution

The third proportional to 127,075.50 and 276,284.25 is: 600,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,075.50 : 276,284.25 = 276,284.25 : x
  2. Step 2: Convert to fraction form
    127,075.50/276,284.25 = 276,284.25/x
  3. Step 3: Cross multiply
    127,075.50x = 276,284.25 × 276,284.25
  4. Step 4: Simplify right side
    127,075.50x = 76,332,986,798.06
  5. Step 5: Solve for x
    x = 76,332,986,798.06/127,075.50
  6. Step 6: Final answer
    x = 600,690.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.