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Finding the Third Proportional to 38,925.50 and 85,121.50

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Solution

The third proportional to 38,925.50 and 85,121.50 is: 186,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925.50 : 85,121.50 = 85,121.50 : x
  2. Step 2: Convert to fraction form
    38,925.50/85,121.50 = 85,121.50/x
  3. Step 3: Cross multiply
    38,925.50x = 85,121.50 × 85,121.50
  4. Step 4: Simplify right side
    38,925.50x = 7,245,669,762.25
  5. Step 5: Solve for x
    x = 7,245,669,762.25/38,925.50
  6. Step 6: Final answer
    x = 186,141.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.