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Finding the Third Proportional to 77,037 and 115,251

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Solution

The third proportional to 77,037 and 115,251 is: 172,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,037 : 115,251 = 115,251 : x
  2. Step 2: Convert to fraction form
    77,037/115,251 = 115,251/x
  3. Step 3: Cross multiply
    77,037x = 115,251 × 115,251
  4. Step 4: Simplify right side
    77,037x = 13,282,793,001
  5. Step 5: Solve for x
    x = 13,282,793,001/77,037
  6. Step 6: Final answer
    x = 172,420.95

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