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Finding the Third Proportional to 130,174 and 268,122

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Solution

The third proportional to 130,174 and 268,122 is: 552,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,174 : 268,122 = 268,122 : x
  2. Step 2: Convert to fraction form
    130,174/268,122 = 268,122/x
  3. Step 3: Cross multiply
    130,174x = 268,122 × 268,122
  4. Step 4: Simplify right side
    130,174x = 71,889,406,884
  5. Step 5: Solve for x
    x = 71,889,406,884/130,174
  6. Step 6: Final answer
    x = 552,256.26

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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.