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Finding the Third Proportional to 119,638 and 174,264

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Solution

The third proportional to 119,638 and 174,264 is: 253,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,638 : 174,264 = 174,264 : x
  2. Step 2: Convert to fraction form
    119,638/174,264 = 174,264/x
  3. Step 3: Cross multiply
    119,638x = 174,264 × 174,264
  4. Step 4: Simplify right side
    119,638x = 30,367,941,696
  5. Step 5: Solve for x
    x = 30,367,941,696/119,638
  6. Step 6: Final answer
    x = 253,831.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.