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Finding the Third Proportional to 130,176 and 268,126

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Solution

The third proportional to 130,176 and 268,126 is: 552,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176 : 268,126 = 268,126 : x
  2. Step 2: Convert to fraction form
    130,176/268,126 = 268,126/x
  3. Step 3: Cross multiply
    130,176x = 268,126 × 268,126
  4. Step 4: Simplify right side
    130,176x = 71,891,551,876
  5. Step 5: Solve for x
    x = 71,891,551,876/130,176
  6. Step 6: Final answer
    x = 552,264.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.