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Finding the Third Proportional to 119,732.25 and 174,333.38

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Solution

The third proportional to 119,732.25 and 174,333.38 is: 253,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,732.25 : 174,333.38 = 174,333.38 : x
  2. Step 2: Convert to fraction form
    119,732.25/174,333.38 = 174,333.38/x
  3. Step 3: Cross multiply
    119,732.25x = 174,333.38 × 174,333.38
  4. Step 4: Simplify right side
    119,732.25x = 30,392,125,638.89
  5. Step 5: Solve for x
    x = 30,392,125,638.89/119,732.25
  6. Step 6: Final answer
    x = 253,834.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.