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Finding the Third Proportional to 124,456 and 187,576

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Solution

The third proportional to 124,456 and 187,576 is: 282,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,456 : 187,576 = 187,576 : x
  2. Step 2: Convert to fraction form
    124,456/187,576 = 187,576/x
  3. Step 3: Cross multiply
    124,456x = 187,576 × 187,576
  4. Step 4: Simplify right side
    124,456x = 35,184,755,776
  5. Step 5: Solve for x
    x = 35,184,755,776/124,456
  6. Step 6: Final answer
    x = 282,708.39

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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.