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Finding the Third Proportional to 54,507 and 120,660

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Solution

The third proportional to 54,507 and 120,660 is: 267,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,507 : 120,660 = 120,660 : x
  2. Step 2: Convert to fraction form
    54,507/120,660 = 120,660/x
  3. Step 3: Cross multiply
    54,507x = 120,660 × 120,660
  4. Step 4: Simplify right side
    54,507x = 14,558,835,600
  5. Step 5: Solve for x
    x = 14,558,835,600/54,507
  6. Step 6: Final answer
    x = 267,100.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.