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Finding the Third Proportional to 129,470 and 185,824

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Solution

The third proportional to 129,470 and 185,824 is: 266,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,470 : 185,824 = 185,824 : x
  2. Step 2: Convert to fraction form
    129,470/185,824 = 185,824/x
  3. Step 3: Cross multiply
    129,470x = 185,824 × 185,824
  4. Step 4: Simplify right side
    129,470x = 34,530,558,976
  5. Step 5: Solve for x
    x = 34,530,558,976/129,470
  6. Step 6: Final answer
    x = 266,707.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.