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Finding the Third Proportional to 124,960 and 199,858

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Solution

The third proportional to 124,960 and 199,858 is: 319,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,960 : 199,858 = 199,858 : x
  2. Step 2: Convert to fraction form
    124,960/199,858 = 199,858/x
  3. Step 3: Cross multiply
    124,960x = 199,858 × 199,858
  4. Step 4: Simplify right side
    124,960x = 39,943,220,164
  5. Step 5: Solve for x
    x = 39,943,220,164/124,960
  6. Step 6: Final answer
    x = 319,648.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.