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Finding the Third Proportional to 76,524 and 102,636

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Solution

The third proportional to 76,524 and 102,636 is: 137,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,524 : 102,636 = 102,636 : x
  2. Step 2: Convert to fraction form
    76,524/102,636 = 102,636/x
  3. Step 3: Cross multiply
    76,524x = 102,636 × 102,636
  4. Step 4: Simplify right side
    76,524x = 10,534,148,496
  5. Step 5: Solve for x
    x = 10,534,148,496/76,524
  6. Step 6: Final answer
    x = 137,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.