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Finding the Third Proportional to 57,510 and 125,145

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Solution

The third proportional to 57,510 and 125,145 is: 272,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510 : 125,145 = 125,145 : x
  2. Step 2: Convert to fraction form
    57,510/125,145 = 125,145/x
  3. Step 3: Cross multiply
    57,510x = 125,145 × 125,145
  4. Step 4: Simplify right side
    57,510x = 15,661,271,025
  5. Step 5: Solve for x
    x = 15,661,271,025/57,510
  6. Step 6: Final answer
    x = 272,322.57

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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.