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Finding the Third Proportional to 30,075 and 65,313

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Solution

The third proportional to 30,075 and 65,313 is: 141,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075 : 65,313 = 65,313 : x
  2. Step 2: Convert to fraction form
    30,075/65,313 = 65,313/x
  3. Step 3: Cross multiply
    30,075x = 65,313 × 65,313
  4. Step 4: Simplify right side
    30,075x = 4,265,787,969
  5. Step 5: Solve for x
    x = 4,265,787,969/30,075
  6. Step 6: Final answer
    x = 141,838.34

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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.