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Finding the Third Proportional to 132,057 and 179,293.50

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Solution

The third proportional to 132,057 and 179,293.50 is: 243,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,057 : 179,293.50 = 179,293.50 : x
  2. Step 2: Convert to fraction form
    132,057/179,293.50 = 179,293.50/x
  3. Step 3: Cross multiply
    132,057x = 179,293.50 × 179,293.50
  4. Step 4: Simplify right side
    132,057x = 32,146,159,142.25
  5. Step 5: Solve for x
    x = 32,146,159,142.25/132,057
  6. Step 6: Final answer
    x = 243,426.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.