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Finding the Third Proportional to 106,169.50 and 250,272

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Solution

The third proportional to 106,169.50 and 250,272 is: 589,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,169.50 : 250,272 = 250,272 : x
  2. Step 2: Convert to fraction form
    106,169.50/250,272 = 250,272/x
  3. Step 3: Cross multiply
    106,169.50x = 250,272 × 250,272
  4. Step 4: Simplify right side
    106,169.50x = 62,636,073,984
  5. Step 5: Solve for x
    x = 62,636,073,984/106,169.50
  6. Step 6: Final answer
    x = 589,962.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.