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Finding the Third Proportional to 70,123.50 and 150,294

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Solution

The third proportional to 70,123.50 and 150,294 is: 322,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,123.50 : 150,294 = 150,294 : x
  2. Step 2: Convert to fraction form
    70,123.50/150,294 = 150,294/x
  3. Step 3: Cross multiply
    70,123.50x = 150,294 × 150,294
  4. Step 4: Simplify right side
    70,123.50x = 22,588,286,436
  5. Step 5: Solve for x
    x = 22,588,286,436/70,123.50
  6. Step 6: Final answer
    x = 322,121.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.