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Finding the Third Proportional to 125,013 and 187,533

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Solution

The third proportional to 125,013 and 187,533 is: 281,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,013 : 187,533 = 187,533 : x
  2. Step 2: Convert to fraction form
    125,013/187,533 = 187,533/x
  3. Step 3: Cross multiply
    125,013x = 187,533 × 187,533
  4. Step 4: Simplify right side
    125,013x = 35,168,626,089
  5. Step 5: Solve for x
    x = 35,168,626,089/125,013
  6. Step 6: Final answer
    x = 281,319.75

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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.