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Finding the Third Proportional to 58,923 and 91,381.50

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Solution

The third proportional to 58,923 and 91,381.50 is: 141,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,923 : 91,381.50 = 91,381.50 : x
  2. Step 2: Convert to fraction form
    58,923/91,381.50 = 91,381.50/x
  3. Step 3: Cross multiply
    58,923x = 91,381.50 × 91,381.50
  4. Step 4: Simplify right side
    58,923x = 8,350,578,542.25
  5. Step 5: Solve for x
    x = 8,350,578,542.25/58,923
  6. Step 6: Final answer
    x = 141,720.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.