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Finding the Third Proportional to 124,706 and 301,901

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Solution

The third proportional to 124,706 and 301,901 is: 730,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,706 : 301,901 = 301,901 : x
  2. Step 2: Convert to fraction form
    124,706/301,901 = 301,901/x
  3. Step 3: Cross multiply
    124,706x = 301,901 × 301,901
  4. Step 4: Simplify right side
    124,706x = 91,144,213,801
  5. Step 5: Solve for x
    x = 91,144,213,801/124,706
  6. Step 6: Final answer
    x = 730,872.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.