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Finding the Third Proportional to 43,330 and 93,106

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Solution

The third proportional to 43,330 and 93,106 is: 200,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,330 : 93,106 = 93,106 : x
  2. Step 2: Convert to fraction form
    43,330/93,106 = 93,106/x
  3. Step 3: Cross multiply
    43,330x = 93,106 × 93,106
  4. Step 4: Simplify right side
    43,330x = 8,668,727,236
  5. Step 5: Solve for x
    x = 8,668,727,236/43,330
  6. Step 6: Final answer
    x = 200,062.94

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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.