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Finding the Third Proportional to 77,787 and 113,277

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Solution

The third proportional to 77,787 and 113,277 is: 164,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 113,277 = 113,277 : x
  2. Step 2: Convert to fraction form
    77,787/113,277 = 113,277/x
  3. Step 3: Cross multiply
    77,787x = 113,277 × 113,277
  4. Step 4: Simplify right side
    77,787x = 12,831,678,729
  5. Step 5: Solve for x
    x = 12,831,678,729/77,787
  6. Step 6: Final answer
    x = 164,959.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.