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Finding the Third Proportional to 62,619 and 130,410

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Solution

The third proportional to 62,619 and 130,410 is: 271,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,619 : 130,410 = 130,410 : x
  2. Step 2: Convert to fraction form
    62,619/130,410 = 130,410/x
  3. Step 3: Cross multiply
    62,619x = 130,410 × 130,410
  4. Step 4: Simplify right side
    62,619x = 17,006,768,100
  5. Step 5: Solve for x
    x = 17,006,768,100/62,619
  6. Step 6: Final answer
    x = 271,591.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.