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Finding the Third Proportional to 112,431.66 and 170,949.66

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Solution

The third proportional to 112,431.66 and 170,949.66 is: 259,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,431.66 : 170,949.66 = 170,949.66 : x
  2. Step 2: Convert to fraction form
    112,431.66/170,949.66 = 170,949.66/x
  3. Step 3: Cross multiply
    112,431.66x = 170,949.66 × 170,949.66
  4. Step 4: Simplify right side
    112,431.66x = 29,223,784,971.99
  5. Step 5: Solve for x
    x = 29,223,784,971.99/112,431.66
  6. Step 6: Final answer
    x = 259,924.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.