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Finding the Third Proportional to 102,524 and 156,726

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Solution

The third proportional to 102,524 and 156,726 is: 239,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524 : 156,726 = 156,726 : x
  2. Step 2: Convert to fraction form
    102,524/156,726 = 156,726/x
  3. Step 3: Cross multiply
    102,524x = 156,726 × 156,726
  4. Step 4: Simplify right side
    102,524x = 24,563,039,076
  5. Step 5: Solve for x
    x = 24,563,039,076/102,524
  6. Step 6: Final answer
    x = 239,583.31

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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.