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Finding the Third Proportional to 134,760 and 201,240

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Solution

The third proportional to 134,760 and 201,240 is: 300,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,760 : 201,240 = 201,240 : x
  2. Step 2: Convert to fraction form
    134,760/201,240 = 201,240/x
  3. Step 3: Cross multiply
    134,760x = 201,240 × 201,240
  4. Step 4: Simplify right side
    134,760x = 40,497,537,600
  5. Step 5: Solve for x
    x = 40,497,537,600/134,760
  6. Step 6: Final answer
    x = 300,516.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.