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Finding the Third Proportional to 83,506.50 and 173,898

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Solution

The third proportional to 83,506.50 and 173,898 is: 362,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.50 : 173,898 = 173,898 : x
  2. Step 2: Convert to fraction form
    83,506.50/173,898 = 173,898/x
  3. Step 3: Cross multiply
    83,506.50x = 173,898 × 173,898
  4. Step 4: Simplify right side
    83,506.50x = 30,240,514,404
  5. Step 5: Solve for x
    x = 30,240,514,404/83,506.50
  6. Step 6: Final answer
    x = 362,133.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.