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Finding the Third Proportional to 91,152.50 and 139,920.75

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Solution

The third proportional to 91,152.50 and 139,920.75 is: 214,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,152.50 : 139,920.75 = 139,920.75 : x
  2. Step 2: Convert to fraction form
    91,152.50/139,920.75 = 139,920.75/x
  3. Step 3: Cross multiply
    91,152.50x = 139,920.75 × 139,920.75
  4. Step 4: Simplify right side
    91,152.50x = 19,577,816,280.56
  5. Step 5: Solve for x
    x = 19,577,816,280.56/91,152.50
  6. Step 6: Final answer
    x = 214,780.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.