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Finding the Third Proportional to 133,471 and 179,776.50

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Solution

The third proportional to 133,471 and 179,776.50 is: 242,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,471 : 179,776.50 = 179,776.50 : x
  2. Step 2: Convert to fraction form
    133,471/179,776.50 = 179,776.50/x
  3. Step 3: Cross multiply
    133,471x = 179,776.50 × 179,776.50
  4. Step 4: Simplify right side
    133,471x = 32,319,589,952.25
  5. Step 5: Solve for x
    x = 32,319,589,952.25/133,471
  6. Step 6: Final answer
    x = 242,146.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.