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Finding the Third Proportional to 71,466 and 113,265

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Solution

The third proportional to 71,466 and 113,265 is: 179,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466 : 113,265 = 113,265 : x
  2. Step 2: Convert to fraction form
    71,466/113,265 = 113,265/x
  3. Step 3: Cross multiply
    71,466x = 113,265 × 113,265
  4. Step 4: Simplify right side
    71,466x = 12,828,960,225
  5. Step 5: Solve for x
    x = 12,828,960,225/71,466
  6. Step 6: Final answer
    x = 179,511.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.