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Finding the Third Proportional to 122,898 and 195,417

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Solution

The third proportional to 122,898 and 195,417 is: 310,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898 : 195,417 = 195,417 : x
  2. Step 2: Convert to fraction form
    122,898/195,417 = 195,417/x
  3. Step 3: Cross multiply
    122,898x = 195,417 × 195,417
  4. Step 4: Simplify right side
    122,898x = 38,187,803,889
  5. Step 5: Solve for x
    x = 38,187,803,889/122,898
  6. Step 6: Final answer
    x = 310,727.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.