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Finding the Third Proportional to 62,024 and 134,340

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Solution

The third proportional to 62,024 and 134,340 is: 290,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,024 : 134,340 = 134,340 : x
  2. Step 2: Convert to fraction form
    62,024/134,340 = 134,340/x
  3. Step 3: Cross multiply
    62,024x = 134,340 × 134,340
  4. Step 4: Simplify right side
    62,024x = 18,047,235,600
  5. Step 5: Solve for x
    x = 18,047,235,600/62,024
  6. Step 6: Final answer
    x = 290,971.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.