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Finding the Third Proportional to 102,300 and 137,611.13

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Solution

The third proportional to 102,300 and 137,611.13 is: 185,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300 : 137,611.13 = 137,611.13 : x
  2. Step 2: Convert to fraction form
    102,300/137,611.13 = 137,611.13/x
  3. Step 3: Cross multiply
    102,300x = 137,611.13 × 137,611.13
  4. Step 4: Simplify right side
    102,300x = 18,936,821,723.77
  5. Step 5: Solve for x
    x = 18,936,821,723.77/102,300
  6. Step 6: Final answer
    x = 185,110.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.