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Finding the Third Proportional to 94,128 and 195,924

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Solution

The third proportional to 94,128 and 195,924 is: 407,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,128 : 195,924 = 195,924 : x
  2. Step 2: Convert to fraction form
    94,128/195,924 = 195,924/x
  3. Step 3: Cross multiply
    94,128x = 195,924 × 195,924
  4. Step 4: Simplify right side
    94,128x = 38,386,213,776
  5. Step 5: Solve for x
    x = 38,386,213,776/94,128
  6. Step 6: Final answer
    x = 407,808.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.