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Finding the Third Proportional to 54,336 and 83,118

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Solution

The third proportional to 54,336 and 83,118 is: 127,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,336 : 83,118 = 83,118 : x
  2. Step 2: Convert to fraction form
    54,336/83,118 = 83,118/x
  3. Step 3: Cross multiply
    54,336x = 83,118 × 83,118
  4. Step 4: Simplify right side
    54,336x = 6,908,601,924
  5. Step 5: Solve for x
    x = 6,908,601,924/54,336
  6. Step 6: Final answer
    x = 127,145.94

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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.