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Finding the Third Proportional to 94,032 and 195,840

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Solution

The third proportional to 94,032 and 195,840 is: 407,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,032 : 195,840 = 195,840 : x
  2. Step 2: Convert to fraction form
    94,032/195,840 = 195,840/x
  3. Step 3: Cross multiply
    94,032x = 195,840 × 195,840
  4. Step 4: Simplify right side
    94,032x = 38,353,305,600
  5. Step 5: Solve for x
    x = 38,353,305,600/94,032
  6. Step 6: Final answer
    x = 407,875.04

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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.