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Finding the Third Proportional to 54,737 and 118,023

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Solution

The third proportional to 54,737 and 118,023 is: 254,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737 : 118,023 = 118,023 : x
  2. Step 2: Convert to fraction form
    54,737/118,023 = 118,023/x
  3. Step 3: Cross multiply
    54,737x = 118,023 × 118,023
  4. Step 4: Simplify right side
    54,737x = 13,929,428,529
  5. Step 5: Solve for x
    x = 13,929,428,529/54,737
  6. Step 6: Final answer
    x = 254,479.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.