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Finding the Third Proportional to 49,116 and 77,892

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Solution

The third proportional to 49,116 and 77,892 is: 123,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,116 : 77,892 = 77,892 : x
  2. Step 2: Convert to fraction form
    49,116/77,892 = 77,892/x
  3. Step 3: Cross multiply
    49,116x = 77,892 × 77,892
  4. Step 4: Simplify right side
    49,116x = 6,067,163,664
  5. Step 5: Solve for x
    x = 6,067,163,664/49,116
  6. Step 6: Final answer
    x = 123,527.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.