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Finding the Third Proportional to 72,319.50 and 157,079.25

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Solution

The third proportional to 72,319.50 and 157,079.25 is: 341,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,319.50 : 157,079.25 = 157,079.25 : x
  2. Step 2: Convert to fraction form
    72,319.50/157,079.25 = 157,079.25/x
  3. Step 3: Cross multiply
    72,319.50x = 157,079.25 × 157,079.25
  4. Step 4: Simplify right side
    72,319.50x = 24,673,890,780.56
  5. Step 5: Solve for x
    x = 24,673,890,780.56/72,319.50
  6. Step 6: Final answer
    x = 341,178.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.