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Finding the Third Proportional to 63,006 and 130,620

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Solution

The third proportional to 63,006 and 130,620 is: 270,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,006 : 130,620 = 130,620 : x
  2. Step 2: Convert to fraction form
    63,006/130,620 = 130,620/x
  3. Step 3: Cross multiply
    63,006x = 130,620 × 130,620
  4. Step 4: Simplify right side
    63,006x = 17,061,584,400
  5. Step 5: Solve for x
    x = 17,061,584,400/63,006
  6. Step 6: Final answer
    x = 270,793.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.