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Finding the Third Proportional to 66,914 and 148,590

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Solution

The third proportional to 66,914 and 148,590 is: 329,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914 : 148,590 = 148,590 : x
  2. Step 2: Convert to fraction form
    66,914/148,590 = 148,590/x
  3. Step 3: Cross multiply
    66,914x = 148,590 × 148,590
  4. Step 4: Simplify right side
    66,914x = 22,078,988,100
  5. Step 5: Solve for x
    x = 22,078,988,100/66,914
  6. Step 6: Final answer
    x = 329,960.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.