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Finding the Third Proportional to 76,854 and 115,282

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Solution

The third proportional to 76,854 and 115,282 is: 172,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854 : 115,282 = 115,282 : x
  2. Step 2: Convert to fraction form
    76,854/115,282 = 115,282/x
  3. Step 3: Cross multiply
    76,854x = 115,282 × 115,282
  4. Step 4: Simplify right side
    76,854x = 13,289,939,524
  5. Step 5: Solve for x
    x = 13,289,939,524/76,854
  6. Step 6: Final answer
    x = 172,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.