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Finding the Third Proportional to 54,577 and 118,871

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Solution

The third proportional to 54,577 and 118,871 is: 258,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577 : 118,871 = 118,871 : x
  2. Step 2: Convert to fraction form
    54,577/118,871 = 118,871/x
  3. Step 3: Cross multiply
    54,577x = 118,871 × 118,871
  4. Step 4: Simplify right side
    54,577x = 14,130,314,641
  5. Step 5: Solve for x
    x = 14,130,314,641/54,577
  6. Step 6: Final answer
    x = 258,906.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.