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Finding the Third Proportional to 70,620 and 103,573.50

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Solution

The third proportional to 70,620 and 103,573.50 is: 151,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,620 : 103,573.50 = 103,573.50 : x
  2. Step 2: Convert to fraction form
    70,620/103,573.50 = 103,573.50/x
  3. Step 3: Cross multiply
    70,620x = 103,573.50 × 103,573.50
  4. Step 4: Simplify right side
    70,620x = 10,727,469,902.25
  5. Step 5: Solve for x
    x = 10,727,469,902.25/70,620
  6. Step 6: Final answer
    x = 151,904.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.