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Finding the Third Proportional to 132,792 and 205,614

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Solution

The third proportional to 132,792 and 205,614 is: 318,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,792 : 205,614 = 205,614 : x
  2. Step 2: Convert to fraction form
    132,792/205,614 = 205,614/x
  3. Step 3: Cross multiply
    132,792x = 205,614 × 205,614
  4. Step 4: Simplify right side
    132,792x = 42,277,116,996
  5. Step 5: Solve for x
    x = 42,277,116,996/132,792
  6. Step 6: Final answer
    x = 318,370.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.