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Finding the Third Proportional to 124,333 and 187,533

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Solution

The third proportional to 124,333 and 187,533 is: 282,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,333 : 187,533 = 187,533 : x
  2. Step 2: Convert to fraction form
    124,333/187,533 = 187,533/x
  3. Step 3: Cross multiply
    124,333x = 187,533 × 187,533
  4. Step 4: Simplify right side
    124,333x = 35,168,626,089
  5. Step 5: Solve for x
    x = 35,168,626,089/124,333
  6. Step 6: Final answer
    x = 282,858.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.