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Finding the Third Proportional to 121,281 and 180,735

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Solution

The third proportional to 121,281 and 180,735 is: 269,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,281 : 180,735 = 180,735 : x
  2. Step 2: Convert to fraction form
    121,281/180,735 = 180,735/x
  3. Step 3: Cross multiply
    121,281x = 180,735 × 180,735
  4. Step 4: Simplify right side
    121,281x = 32,665,140,225
  5. Step 5: Solve for x
    x = 32,665,140,225/121,281
  6. Step 6: Final answer
    x = 269,334.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.