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Finding the Third Proportional to 76,793 and 114,596

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Solution

The third proportional to 76,793 and 114,596 is: 171,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793 : 114,596 = 114,596 : x
  2. Step 2: Convert to fraction form
    76,793/114,596 = 114,596/x
  3. Step 3: Cross multiply
    76,793x = 114,596 × 114,596
  4. Step 4: Simplify right side
    76,793x = 13,132,243,216
  5. Step 5: Solve for x
    x = 13,132,243,216/76,793
  6. Step 6: Final answer
    x = 171,008.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.