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Finding the Third Proportional to 54,148 and 83,336

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Solution

The third proportional to 54,148 and 83,336 is: 128,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148 : 83,336 = 83,336 : x
  2. Step 2: Convert to fraction form
    54,148/83,336 = 83,336/x
  3. Step 3: Cross multiply
    54,148x = 83,336 × 83,336
  4. Step 4: Simplify right side
    54,148x = 6,944,888,896
  5. Step 5: Solve for x
    x = 6,944,888,896/54,148
  6. Step 6: Final answer
    x = 128,257.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.