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Finding the Third Proportional to 56,075 and 83,303

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Solution

The third proportional to 56,075 and 83,303 is: 123,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,075 : 83,303 = 83,303 : x
  2. Step 2: Convert to fraction form
    56,075/83,303 = 83,303/x
  3. Step 3: Cross multiply
    56,075x = 83,303 × 83,303
  4. Step 4: Simplify right side
    56,075x = 6,939,389,809
  5. Step 5: Solve for x
    x = 6,939,389,809/56,075
  6. Step 6: Final answer
    x = 123,751.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.