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Finding the Third Proportional to 113,022.84 and 153,493.73

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Solution

The third proportional to 113,022.84 and 153,493.73 is: 208,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,022.84 : 153,493.73 = 153,493.73 : x
  2. Step 2: Convert to fraction form
    113,022.84/153,493.73 = 153,493.73/x
  3. Step 3: Cross multiply
    113,022.84x = 153,493.73 × 153,493.73
  4. Step 4: Simplify right side
    113,022.84x = 23,560,326,492.38
  5. Step 5: Solve for x
    x = 23,560,326,492.38/113,022.84
  6. Step 6: Final answer
    x = 208,456.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.