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Finding the Third Proportional to 92,218.50 and 141,006

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Solution

The third proportional to 92,218.50 and 141,006 is: 215,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,218.50 : 141,006 = 141,006 : x
  2. Step 2: Convert to fraction form
    92,218.50/141,006 = 141,006/x
  3. Step 3: Cross multiply
    92,218.50x = 141,006 × 141,006
  4. Step 4: Simplify right side
    92,218.50x = 19,882,692,036
  5. Step 5: Solve for x
    x = 19,882,692,036/92,218.50
  6. Step 6: Final answer
    x = 215,604.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.