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Finding the Third Proportional to 72,319.50 and 111,969

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Solution

The third proportional to 72,319.50 and 111,969 is: 173,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,319.50 : 111,969 = 111,969 : x
  2. Step 2: Convert to fraction form
    72,319.50/111,969 = 111,969/x
  3. Step 3: Cross multiply
    72,319.50x = 111,969 × 111,969
  4. Step 4: Simplify right side
    72,319.50x = 12,537,056,961
  5. Step 5: Solve for x
    x = 12,537,056,961/72,319.50
  6. Step 6: Final answer
    x = 173,356.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.