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Finding the Third Proportional to 27,457 and 60,261

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Solution

The third proportional to 27,457 and 60,261 is: 132,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457 : 60,261 = 60,261 : x
  2. Step 2: Convert to fraction form
    27,457/60,261 = 60,261/x
  3. Step 3: Cross multiply
    27,457x = 60,261 × 60,261
  4. Step 4: Simplify right side
    27,457x = 3,631,388,121
  5. Step 5: Solve for x
    x = 3,631,388,121/27,457
  6. Step 6: Final answer
    x = 132,257.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.