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Finding the Third Proportional to 125,075 and 187,270

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Solution

The third proportional to 125,075 and 187,270 is: 280,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,075 : 187,270 = 187,270 : x
  2. Step 2: Convert to fraction form
    125,075/187,270 = 187,270/x
  3. Step 3: Cross multiply
    125,075x = 187,270 × 187,270
  4. Step 4: Simplify right side
    125,075x = 35,070,052,900
  5. Step 5: Solve for x
    x = 35,070,052,900/125,075
  6. Step 6: Final answer
    x = 280,392.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.