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Finding the Third Proportional to 111,051 and 176,620.50

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Solution

The third proportional to 111,051 and 176,620.50 is: 280,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051 : 176,620.50 = 176,620.50 : x
  2. Step 2: Convert to fraction form
    111,051/176,620.50 = 176,620.50/x
  3. Step 3: Cross multiply
    111,051x = 176,620.50 × 176,620.50
  4. Step 4: Simplify right side
    111,051x = 31,194,801,020.25
  5. Step 5: Solve for x
    x = 31,194,801,020.25/111,051
  6. Step 6: Final answer
    x = 280,905.18

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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.