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Finding the Third Proportional to 103,431.50 and 153,203

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Solution

The third proportional to 103,431.50 and 153,203 is: 226,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,431.50 : 153,203 = 153,203 : x
  2. Step 2: Convert to fraction form
    103,431.50/153,203 = 153,203/x
  3. Step 3: Cross multiply
    103,431.50x = 153,203 × 153,203
  4. Step 4: Simplify right side
    103,431.50x = 23,471,159,209
  5. Step 5: Solve for x
    x = 23,471,159,209/103,431.50
  6. Step 6: Final answer
    x = 226,924.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.