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Finding the Third Proportional to 62,146 and 134,180

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Solution

The third proportional to 62,146 and 134,180 is: 289,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,146 : 134,180 = 134,180 : x
  2. Step 2: Convert to fraction form
    62,146/134,180 = 134,180/x
  3. Step 3: Cross multiply
    62,146x = 134,180 × 134,180
  4. Step 4: Simplify right side
    62,146x = 18,004,272,400
  5. Step 5: Solve for x
    x = 18,004,272,400/62,146
  6. Step 6: Final answer
    x = 289,709.27

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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.