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Finding the Third Proportional to 51,905 and 77,857.75

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Solution

The third proportional to 51,905 and 77,857.75 is: 116,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905 : 77,857.75 = 77,857.75 : x
  2. Step 2: Convert to fraction form
    51,905/77,857.75 = 77,857.75/x
  3. Step 3: Cross multiply
    51,905x = 77,857.75 × 77,857.75
  4. Step 4: Simplify right side
    51,905x = 6,061,829,235.06
  5. Step 5: Solve for x
    x = 6,061,829,235.06/51,905
  6. Step 6: Final answer
    x = 116,787.00

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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.