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Finding the Third Proportional to 98,726 and 156,836

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Solution

The third proportional to 98,726 and 156,836 is: 249,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,726 : 156,836 = 156,836 : x
  2. Step 2: Convert to fraction form
    98,726/156,836 = 156,836/x
  3. Step 3: Cross multiply
    98,726x = 156,836 × 156,836
  4. Step 4: Simplify right side
    98,726x = 24,597,530,896
  5. Step 5: Solve for x
    x = 24,597,530,896/98,726
  6. Step 6: Final answer
    x = 249,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.