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Finding the Third Proportional to 83,556.64 and 173,514.10

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Solution

The third proportional to 83,556.64 and 173,514.10 is: 360,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,556.64 : 173,514.10 = 173,514.10 : x
  2. Step 2: Convert to fraction form
    83,556.64/173,514.10 = 173,514.10/x
  3. Step 3: Cross multiply
    83,556.64x = 173,514.10 × 173,514.10
  4. Step 4: Simplify right side
    83,556.64x = 30,107,143,779.94
  5. Step 5: Solve for x
    x = 30,107,143,779.94/83,556.64
  6. Step 6: Final answer
    x = 360,320.18

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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.