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Finding the Third Proportional to 84,096 and 181,248

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Solution

The third proportional to 84,096 and 181,248 is: 390,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096 : 181,248 = 181,248 : x
  2. Step 2: Convert to fraction form
    84,096/181,248 = 181,248/x
  3. Step 3: Cross multiply
    84,096x = 181,248 × 181,248
  4. Step 4: Simplify right side
    84,096x = 32,850,837,504
  5. Step 5: Solve for x
    x = 32,850,837,504/84,096
  6. Step 6: Final answer
    x = 390,634.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.