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Finding the Third Proportional to 27,878 and 60,133

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Solution

The third proportional to 27,878 and 60,133 is: 129,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878 : 60,133 = 60,133 : x
  2. Step 2: Convert to fraction form
    27,878/60,133 = 60,133/x
  3. Step 3: Cross multiply
    27,878x = 60,133 × 60,133
  4. Step 4: Simplify right side
    27,878x = 3,615,977,689
  5. Step 5: Solve for x
    x = 3,615,977,689/27,878
  6. Step 6: Final answer
    x = 129,707.21

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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.