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Finding the Third Proportional to 125,906 and 195,242

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Solution

The third proportional to 125,906 and 195,242 is: 302,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906 : 195,242 = 195,242 : x
  2. Step 2: Convert to fraction form
    125,906/195,242 = 195,242/x
  3. Step 3: Cross multiply
    125,906x = 195,242 × 195,242
  4. Step 4: Simplify right side
    125,906x = 38,119,438,564
  5. Step 5: Solve for x
    x = 38,119,438,564/125,906
  6. Step 6: Final answer
    x = 302,761.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.