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Finding the Third Proportional to 132,051 and 284,635

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Solution

The third proportional to 132,051 and 284,635 is: 613,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051 : 284,635 = 284,635 : x
  2. Step 2: Convert to fraction form
    132,051/284,635 = 284,635/x
  3. Step 3: Cross multiply
    132,051x = 284,635 × 284,635
  4. Step 4: Simplify right side
    132,051x = 81,017,083,225
  5. Step 5: Solve for x
    x = 81,017,083,225/132,051
  6. Step 6: Final answer
    x = 613,528.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.