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Finding the Third Proportional to 79,927.50 and 175,083

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Solution

The third proportional to 79,927.50 and 175,083 is: 383,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,927.50 : 175,083 = 175,083 : x
  2. Step 2: Convert to fraction form
    79,927.50/175,083 = 175,083/x
  3. Step 3: Cross multiply
    79,927.50x = 175,083 × 175,083
  4. Step 4: Simplify right side
    79,927.50x = 30,654,056,889
  5. Step 5: Solve for x
    x = 30,654,056,889/79,927.50
  6. Step 6: Final answer
    x = 383,523.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.