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Finding the Third Proportional to 74,075 and 112,935

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Solution

The third proportional to 74,075 and 112,935 is: 172,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075 : 112,935 = 112,935 : x
  2. Step 2: Convert to fraction form
    74,075/112,935 = 112,935/x
  3. Step 3: Cross multiply
    74,075x = 112,935 × 112,935
  4. Step 4: Simplify right side
    74,075x = 12,754,314,225
  5. Step 5: Solve for x
    x = 12,754,314,225/74,075
  6. Step 6: Final answer
    x = 172,181.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.