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Finding the Third Proportional to 132,056 and 179,426

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Solution

The third proportional to 132,056 and 179,426 is: 243,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,056 : 179,426 = 179,426 : x
  2. Step 2: Convert to fraction form
    132,056/179,426 = 179,426/x
  3. Step 3: Cross multiply
    132,056x = 179,426 × 179,426
  4. Step 4: Simplify right side
    132,056x = 32,193,689,476
  5. Step 5: Solve for x
    x = 32,193,689,476/132,056
  6. Step 6: Final answer
    x = 243,788.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.