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Finding the Third Proportional to 119,011.50 and 178,535.25

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Solution

The third proportional to 119,011.50 and 178,535.25 is: 267,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,011.50 : 178,535.25 = 178,535.25 : x
  2. Step 2: Convert to fraction form
    119,011.50/178,535.25 = 178,535.25/x
  3. Step 3: Cross multiply
    119,011.50x = 178,535.25 × 178,535.25
  4. Step 4: Simplify right side
    119,011.50x = 31,874,835,492.56
  5. Step 5: Solve for x
    x = 31,874,835,492.56/119,011.50
  6. Step 6: Final answer
    x = 267,829.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.