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Finding the Third Proportional to 124,616 and 187,083

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Solution

The third proportional to 124,616 and 187,083 is: 280,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,616 : 187,083 = 187,083 : x
  2. Step 2: Convert to fraction form
    124,616/187,083 = 187,083/x
  3. Step 3: Cross multiply
    124,616x = 187,083 × 187,083
  4. Step 4: Simplify right side
    124,616x = 35,000,048,889
  5. Step 5: Solve for x
    x = 35,000,048,889/124,616
  6. Step 6: Final answer
    x = 280,863.20

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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.