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Finding the Third Proportional to 68,140.13 and 159,157.13

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Solution

The third proportional to 68,140.13 and 159,157.13 is: 371,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140.13 : 159,157.13 = 159,157.13 : x
  2. Step 2: Convert to fraction form
    68,140.13/159,157.13 = 159,157.13/x
  3. Step 3: Cross multiply
    68,140.13x = 159,157.13 × 159,157.13
  4. Step 4: Simplify right side
    68,140.13x = 25,330,990,438.27
  5. Step 5: Solve for x
    x = 25,330,990,438.27/68,140.13
  6. Step 6: Final answer
    x = 371,748.52

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.