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Finding the Third Proportional to 69,498 and 106,434

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Solution

The third proportional to 69,498 and 106,434 is: 163,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 106,434 = 106,434 : x
  2. Step 2: Convert to fraction form
    69,498/106,434 = 106,434/x
  3. Step 3: Cross multiply
    69,498x = 106,434 × 106,434
  4. Step 4: Simplify right side
    69,498x = 11,328,196,356
  5. Step 5: Solve for x
    x = 11,328,196,356/69,498
  6. Step 6: Final answer
    x = 163,000.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.