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Finding the Third Proportional to 66,676 and 157,394

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Solution

The third proportional to 66,676 and 157,394 is: 371,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,676 : 157,394 = 157,394 : x
  2. Step 2: Convert to fraction form
    66,676/157,394 = 157,394/x
  3. Step 3: Cross multiply
    66,676x = 157,394 × 157,394
  4. Step 4: Simplify right side
    66,676x = 24,772,871,236
  5. Step 5: Solve for x
    x = 24,772,871,236/66,676
  6. Step 6: Final answer
    x = 371,541.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.