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Finding the Third Proportional to 43,564 and 93,598

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Solution

The third proportional to 43,564 and 93,598 is: 201,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564 : 93,598 = 93,598 : x
  2. Step 2: Convert to fraction form
    43,564/93,598 = 93,598/x
  3. Step 3: Cross multiply
    43,564x = 93,598 × 93,598
  4. Step 4: Simplify right side
    43,564x = 8,760,585,604
  5. Step 5: Solve for x
    x = 8,760,585,604/43,564
  6. Step 6: Final answer
    x = 201,096.91

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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.