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Finding the Third Proportional to 76,854 and 114,793

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Solution

The third proportional to 76,854 and 114,793 is: 171,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854 : 114,793 = 114,793 : x
  2. Step 2: Convert to fraction form
    76,854/114,793 = 114,793/x
  3. Step 3: Cross multiply
    76,854x = 114,793 × 114,793
  4. Step 4: Simplify right side
    76,854x = 13,177,432,849
  5. Step 5: Solve for x
    x = 13,177,432,849/76,854
  6. Step 6: Final answer
    x = 171,460.60

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Why These Related Problems?

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