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Finding the Third Proportional to 72,988 and 110,004

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Solution

The third proportional to 72,988 and 110,004 is: 165,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988 : 110,004 = 110,004 : x
  2. Step 2: Convert to fraction form
    72,988/110,004 = 110,004/x
  3. Step 3: Cross multiply
    72,988x = 110,004 × 110,004
  4. Step 4: Simplify right side
    72,988x = 12,100,880,016
  5. Step 5: Solve for x
    x = 12,100,880,016/72,988
  6. Step 6: Final answer
    x = 165,792.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.