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Finding the Third Proportional to 43,605 and 69,160.50

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Solution

The third proportional to 43,605 and 69,160.50 is: 109,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 69,160.50 = 69,160.50 : x
  2. Step 2: Convert to fraction form
    43,605/69,160.50 = 69,160.50/x
  3. Step 3: Cross multiply
    43,605x = 69,160.50 × 69,160.50
  4. Step 4: Simplify right side
    43,605x = 4,783,174,760.25
  5. Step 5: Solve for x
    x = 4,783,174,760.25/43,605
  6. Step 6: Final answer
    x = 109,693.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.