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Finding the Third Proportional to 94,130 and 195,928

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Solution

The third proportional to 94,130 and 195,928 is: 407,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,130 : 195,928 = 195,928 : x
  2. Step 2: Convert to fraction form
    94,130/195,928 = 195,928/x
  3. Step 3: Cross multiply
    94,130x = 195,928 × 195,928
  4. Step 4: Simplify right side
    94,130x = 38,387,781,184
  5. Step 5: Solve for x
    x = 38,387,781,184/94,130
  6. Step 6: Final answer
    x = 407,816.65

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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.