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Finding the Third Proportional to 132,956 and 279,854

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Solution

The third proportional to 132,956 and 279,854 is: 589,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,956 : 279,854 = 279,854 : x
  2. Step 2: Convert to fraction form
    132,956/279,854 = 279,854/x
  3. Step 3: Cross multiply
    132,956x = 279,854 × 279,854
  4. Step 4: Simplify right side
    132,956x = 78,318,261,316
  5. Step 5: Solve for x
    x = 78,318,261,316/132,956
  6. Step 6: Final answer
    x = 589,053.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.