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Finding the Third Proportional to 76,650 and 114,503

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Solution

The third proportional to 76,650 and 114,503 is: 171,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650 : 114,503 = 114,503 : x
  2. Step 2: Convert to fraction form
    76,650/114,503 = 114,503/x
  3. Step 3: Cross multiply
    76,650x = 114,503 × 114,503
  4. Step 4: Simplify right side
    76,650x = 13,110,937,009
  5. Step 5: Solve for x
    x = 13,110,937,009/76,650
  6. Step 6: Final answer
    x = 171,049.41

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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.