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Finding the Third Proportional to 130,436 and 174,714

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Solution

The third proportional to 130,436 and 174,714 is: 234,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,436 : 174,714 = 174,714 : x
  2. Step 2: Convert to fraction form
    130,436/174,714 = 174,714/x
  3. Step 3: Cross multiply
    130,436x = 174,714 × 174,714
  4. Step 4: Simplify right side
    130,436x = 30,524,981,796
  5. Step 5: Solve for x
    x = 30,524,981,796/130,436
  6. Step 6: Final answer
    x = 234,022.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.