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Finding the Third Proportional to 73,706 and 173,246

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Solution

The third proportional to 73,706 and 173,246 is: 407,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706 : 173,246 = 173,246 : x
  2. Step 2: Convert to fraction form
    73,706/173,246 = 173,246/x
  3. Step 3: Cross multiply
    73,706x = 173,246 × 173,246
  4. Step 4: Simplify right side
    73,706x = 30,014,176,516
  5. Step 5: Solve for x
    x = 30,014,176,516/73,706
  6. Step 6: Final answer
    x = 407,214.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.