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Finding the Third Proportional to 43,371 and 93,210

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Solution

The third proportional to 43,371 and 93,210 is: 200,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,371 : 93,210 = 93,210 : x
  2. Step 2: Convert to fraction form
    43,371/93,210 = 93,210/x
  3. Step 3: Cross multiply
    43,371x = 93,210 × 93,210
  4. Step 4: Simplify right side
    43,371x = 8,688,104,100
  5. Step 5: Solve for x
    x = 8,688,104,100/43,371
  6. Step 6: Final answer
    x = 200,320.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.