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Finding the Third Proportional to 118,945 and 161,461.50

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Solution

The third proportional to 118,945 and 161,461.50 is: 219,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945 : 161,461.50 = 161,461.50 : x
  2. Step 2: Convert to fraction form
    118,945/161,461.50 = 161,461.50/x
  3. Step 3: Cross multiply
    118,945x = 161,461.50 × 161,461.50
  4. Step 4: Simplify right side
    118,945x = 26,069,815,982.25
  5. Step 5: Solve for x
    x = 26,069,815,982.25/118,945
  6. Step 6: Final answer
    x = 219,175.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.