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Finding the Third Proportional to 80,071.50 and 174,237

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Solution

The third proportional to 80,071.50 and 174,237 is: 379,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,071.50 : 174,237 = 174,237 : x
  2. Step 2: Convert to fraction form
    80,071.50/174,237 = 174,237/x
  3. Step 3: Cross multiply
    80,071.50x = 174,237 × 174,237
  4. Step 4: Simplify right side
    80,071.50x = 30,358,532,169
  5. Step 5: Solve for x
    x = 30,358,532,169/80,071.50
  6. Step 6: Final answer
    x = 379,142.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.