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Finding the Third Proportional to 129,620 and 174,196

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Solution

The third proportional to 129,620 and 174,196 is: 234,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,620 : 174,196 = 174,196 : x
  2. Step 2: Convert to fraction form
    129,620/174,196 = 174,196/x
  3. Step 3: Cross multiply
    129,620x = 174,196 × 174,196
  4. Step 4: Simplify right side
    129,620x = 30,344,246,416
  5. Step 5: Solve for x
    x = 30,344,246,416/129,620
  6. Step 6: Final answer
    x = 234,101.58

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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.