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Finding the Third Proportional to 81,232 and 118,392

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Solution

The third proportional to 81,232 and 118,392 is: 172,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,232 : 118,392 = 118,392 : x
  2. Step 2: Convert to fraction form
    81,232/118,392 = 118,392/x
  3. Step 3: Cross multiply
    81,232x = 118,392 × 118,392
  4. Step 4: Simplify right side
    81,232x = 14,016,665,664
  5. Step 5: Solve for x
    x = 14,016,665,664/81,232
  6. Step 6: Final answer
    x = 172,551.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.