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Finding the Third Proportional to 49,068.75 and 77,826

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Solution

The third proportional to 49,068.75 and 77,826 is: 123,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,068.75 : 77,826 = 77,826 : x
  2. Step 2: Convert to fraction form
    49,068.75/77,826 = 77,826/x
  3. Step 3: Cross multiply
    49,068.75x = 77,826 × 77,826
  4. Step 4: Simplify right side
    49,068.75x = 6,056,886,276
  5. Step 5: Solve for x
    x = 6,056,886,276/49,068.75
  6. Step 6: Final answer
    x = 123,436.73

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