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Finding the Third Proportional to 54,414 and 83,232

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Solution

The third proportional to 54,414 and 83,232 is: 127,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,414 : 83,232 = 83,232 : x
  2. Step 2: Convert to fraction form
    54,414/83,232 = 83,232/x
  3. Step 3: Cross multiply
    54,414x = 83,232 × 83,232
  4. Step 4: Simplify right side
    54,414x = 6,927,565,824
  5. Step 5: Solve for x
    x = 6,927,565,824/54,414
  6. Step 6: Final answer
    x = 127,312.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.