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Finding the Third Proportional to 46,442 and 72,075

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Solution

The third proportional to 46,442 and 72,075 is: 111,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,442 : 72,075 = 72,075 : x
  2. Step 2: Convert to fraction form
    46,442/72,075 = 72,075/x
  3. Step 3: Cross multiply
    46,442x = 72,075 × 72,075
  4. Step 4: Simplify right side
    46,442x = 5,194,805,625
  5. Step 5: Solve for x
    x = 5,194,805,625/46,442
  6. Step 6: Final answer
    x = 111,855.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.