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Finding the Third Proportional to 43,752 and 93,728

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Solution

The third proportional to 43,752 and 93,728 is: 200,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,752 : 93,728 = 93,728 : x
  2. Step 2: Convert to fraction form
    43,752/93,728 = 93,728/x
  3. Step 3: Cross multiply
    43,752x = 93,728 × 93,728
  4. Step 4: Simplify right side
    43,752x = 8,784,937,984
  5. Step 5: Solve for x
    x = 8,784,937,984/43,752
  6. Step 6: Final answer
    x = 200,789.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.