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Finding the Third Proportional to 91,926 and 144,447.75

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Solution

The third proportional to 91,926 and 144,447.75 is: 226,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,926 : 144,447.75 = 144,447.75 : x
  2. Step 2: Convert to fraction form
    91,926/144,447.75 = 144,447.75/x
  3. Step 3: Cross multiply
    91,926x = 144,447.75 × 144,447.75
  4. Step 4: Simplify right side
    91,926x = 20,865,152,480.06
  5. Step 5: Solve for x
    x = 20,865,152,480.06/91,926
  6. Step 6: Final answer
    x = 226,977.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.