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Finding the Third Proportional to 88,013.25 and 132,429.94

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Solution

The third proportional to 88,013.25 and 132,429.94 is: 199,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,013.25 : 132,429.94 = 132,429.94 : x
  2. Step 2: Convert to fraction form
    88,013.25/132,429.94 = 132,429.94/x
  3. Step 3: Cross multiply
    88,013.25x = 132,429.94 × 132,429.94
  4. Step 4: Simplify right side
    88,013.25x = 17,537,688,346.25
  5. Step 5: Solve for x
    x = 17,537,688,346.25/88,013.25
  6. Step 6: Final answer
    x = 199,261.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.