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Finding the Third Proportional to 124,424 and 187,655

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Solution

The third proportional to 124,424 and 187,655 is: 283,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,424 : 187,655 = 187,655 : x
  2. Step 2: Convert to fraction form
    124,424/187,655 = 187,655/x
  3. Step 3: Cross multiply
    124,424x = 187,655 × 187,655
  4. Step 4: Simplify right side
    124,424x = 35,214,399,025
  5. Step 5: Solve for x
    x = 35,214,399,025/124,424
  6. Step 6: Final answer
    x = 283,019.35

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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.