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Finding the Third Proportional to 92,230.13 and 141,021.56

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Solution

The third proportional to 92,230.13 and 141,021.56 is: 215,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,230.13 : 141,021.56 = 141,021.56 : x
  2. Step 2: Convert to fraction form
    92,230.13/141,021.56 = 141,021.56/x
  3. Step 3: Cross multiply
    92,230.13x = 141,021.56 × 141,021.56
  4. Step 4: Simplify right side
    92,230.13x = 19,887,081,089.94
  5. Step 5: Solve for x
    x = 19,887,081,089.94/92,230.13
  6. Step 6: Final answer
    x = 215,624.57

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Why These Related Problems?

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