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Finding the Third Proportional to 54,738 and 78,270

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Solution

The third proportional to 54,738 and 78,270 is: 111,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738 : 78,270 = 78,270 : x
  2. Step 2: Convert to fraction form
    54,738/78,270 = 78,270/x
  3. Step 3: Cross multiply
    54,738x = 78,270 × 78,270
  4. Step 4: Simplify right side
    54,738x = 6,126,192,900
  5. Step 5: Solve for x
    x = 6,126,192,900/54,738
  6. Step 6: Final answer
    x = 111,918.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.