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Finding the Third Proportional to 79,900.50 and 177,537

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Solution

The third proportional to 79,900.50 and 177,537 is: 394,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,900.50 : 177,537 = 177,537 : x
  2. Step 2: Convert to fraction form
    79,900.50/177,537 = 177,537/x
  3. Step 3: Cross multiply
    79,900.50x = 177,537 × 177,537
  4. Step 4: Simplify right side
    79,900.50x = 31,519,386,369
  5. Step 5: Solve for x
    x = 31,519,386,369/79,900.50
  6. Step 6: Final answer
    x = 394,482.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.