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Finding the Third Proportional to 130,850 and 174,003

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Solution

The third proportional to 130,850 and 174,003 is: 231,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,850 : 174,003 = 174,003 : x
  2. Step 2: Convert to fraction form
    130,850/174,003 = 174,003/x
  3. Step 3: Cross multiply
    130,850x = 174,003 × 174,003
  4. Step 4: Simplify right side
    130,850x = 30,277,044,009
  5. Step 5: Solve for x
    x = 30,277,044,009/130,850
  6. Step 6: Final answer
    x = 231,387.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.