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Finding the Third Proportional to 48,026 and 77,165

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Solution

The third proportional to 48,026 and 77,165 is: 123,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,026 : 77,165 = 77,165 : x
  2. Step 2: Convert to fraction form
    48,026/77,165 = 77,165/x
  3. Step 3: Cross multiply
    48,026x = 77,165 × 77,165
  4. Step 4: Simplify right side
    48,026x = 5,954,437,225
  5. Step 5: Solve for x
    x = 5,954,437,225/48,026
  6. Step 6: Final answer
    x = 123,983.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.