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Finding the Third Proportional to 45,861 and 69,253.50

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Solution

The third proportional to 45,861 and 69,253.50 is: 104,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,861 : 69,253.50 = 69,253.50 : x
  2. Step 2: Convert to fraction form
    45,861/69,253.50 = 69,253.50/x
  3. Step 3: Cross multiply
    45,861x = 69,253.50 × 69,253.50
  4. Step 4: Simplify right side
    45,861x = 4,796,047,262.25
  5. Step 5: Solve for x
    x = 4,796,047,262.25/45,861
  6. Step 6: Final answer
    x = 104,577.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.