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Finding the Third Proportional to 54,576 and 118,386

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Solution

The third proportional to 54,576 and 118,386 is: 256,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 118,386 = 118,386 : x
  2. Step 2: Convert to fraction form
    54,576/118,386 = 118,386/x
  3. Step 3: Cross multiply
    54,576x = 118,386 × 118,386
  4. Step 4: Simplify right side
    54,576x = 14,015,244,996
  5. Step 5: Solve for x
    x = 14,015,244,996/54,576
  6. Step 6: Final answer
    x = 256,802.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.