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Finding the Third Proportional to 67,969 and 103,743.50

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Solution

The third proportional to 67,969 and 103,743.50 is: 158,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969 : 103,743.50 = 103,743.50 : x
  2. Step 2: Convert to fraction form
    67,969/103,743.50 = 103,743.50/x
  3. Step 3: Cross multiply
    67,969x = 103,743.50 × 103,743.50
  4. Step 4: Simplify right side
    67,969x = 10,762,713,792.25
  5. Step 5: Solve for x
    x = 10,762,713,792.25/67,969
  6. Step 6: Final answer
    x = 158,347.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.