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Finding the Third Proportional to 71,435.25 and 106,801.88

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Solution

The third proportional to 71,435.25 and 106,801.88 is: 159,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.25 : 106,801.88 = 106,801.88 : x
  2. Step 2: Convert to fraction form
    71,435.25/106,801.88 = 106,801.88/x
  3. Step 3: Cross multiply
    71,435.25x = 106,801.88 × 106,801.88
  4. Step 4: Simplify right side
    71,435.25x = 11,406,640,503.52
  5. Step 5: Solve for x
    x = 11,406,640,503.52/71,435.25
  6. Step 6: Final answer
    x = 159,678.04

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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.