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Finding the Third Proportional to 120,289 and 168,171.50

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Solution

The third proportional to 120,289 and 168,171.50 is: 235,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,289 : 168,171.50 = 168,171.50 : x
  2. Step 2: Convert to fraction form
    120,289/168,171.50 = 168,171.50/x
  3. Step 3: Cross multiply
    120,289x = 168,171.50 × 168,171.50
  4. Step 4: Simplify right side
    120,289x = 28,281,653,412.25
  5. Step 5: Solve for x
    x = 28,281,653,412.25/120,289
  6. Step 6: Final answer
    x = 235,114.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.