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Finding the Third Proportional to 137,241 and 162,175.50

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Solution

The third proportional to 137,241 and 162,175.50 is: 191,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,241 : 162,175.50 = 162,175.50 : x
  2. Step 2: Convert to fraction form
    137,241/162,175.50 = 162,175.50/x
  3. Step 3: Cross multiply
    137,241x = 162,175.50 × 162,175.50
  4. Step 4: Simplify right side
    137,241x = 26,300,892,800.25
  5. Step 5: Solve for x
    x = 26,300,892,800.25/137,241
  6. Step 6: Final answer
    x = 191,640.20

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.