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Finding the Third Proportional to 132,004 and 204,534

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Solution

The third proportional to 132,004 and 204,534 is: 316,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,004 : 204,534 = 204,534 : x
  2. Step 2: Convert to fraction form
    132,004/204,534 = 204,534/x
  3. Step 3: Cross multiply
    132,004x = 204,534 × 204,534
  4. Step 4: Simplify right side
    132,004x = 41,834,157,156
  5. Step 5: Solve for x
    x = 41,834,157,156/132,004
  6. Step 6: Final answer
    x = 316,915.83

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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.