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Finding the Third Proportional to 121,757 and 182,140

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Solution

The third proportional to 121,757 and 182,140 is: 272,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,757 : 182,140 = 182,140 : x
  2. Step 2: Convert to fraction form
    121,757/182,140 = 182,140/x
  3. Step 3: Cross multiply
    121,757x = 182,140 × 182,140
  4. Step 4: Simplify right side
    121,757x = 33,174,979,600
  5. Step 5: Solve for x
    x = 33,174,979,600/121,757
  6. Step 6: Final answer
    x = 272,468.77

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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.