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Finding the Third Proportional to 124,468 and 197,898

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Solution

The third proportional to 124,468 and 197,898 is: 314,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,468 : 197,898 = 197,898 : x
  2. Step 2: Convert to fraction form
    124,468/197,898 = 197,898/x
  3. Step 3: Cross multiply
    124,468x = 197,898 × 197,898
  4. Step 4: Simplify right side
    124,468x = 39,163,618,404
  5. Step 5: Solve for x
    x = 39,163,618,404/124,468
  6. Step 6: Final answer
    x = 314,648.09

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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.