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Finding the Third Proportional to 67,182.09 and 97,116.75

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Solution

The third proportional to 67,182.09 and 97,116.75 is: 140,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,182.09 : 97,116.75 = 97,116.75 : x
  2. Step 2: Convert to fraction form
    67,182.09/97,116.75 = 97,116.75/x
  3. Step 3: Cross multiply
    67,182.09x = 97,116.75 × 97,116.75
  4. Step 4: Simplify right side
    67,182.09x = 9,431,663,130.56
  5. Step 5: Solve for x
    x = 9,431,663,130.56/67,182.09
  6. Step 6: Final answer
    x = 140,389.54

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.