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Finding the Third Proportional to 91,105.50 and 142,905

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Solution

The third proportional to 91,105.50 and 142,905 is: 224,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,105.50 : 142,905 = 142,905 : x
  2. Step 2: Convert to fraction form
    91,105.50/142,905 = 142,905/x
  3. Step 3: Cross multiply
    91,105.50x = 142,905 × 142,905
  4. Step 4: Simplify right side
    91,105.50x = 20,421,839,025
  5. Step 5: Solve for x
    x = 20,421,839,025/91,105.50
  6. Step 6: Final answer
    x = 224,155.94

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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.