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Finding the Third Proportional to 72,701.25 and 156,859.50

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Solution

The third proportional to 72,701.25 and 156,859.50 is: 338,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,701.25 : 156,859.50 = 156,859.50 : x
  2. Step 2: Convert to fraction form
    72,701.25/156,859.50 = 156,859.50/x
  3. Step 3: Cross multiply
    72,701.25x = 156,859.50 × 156,859.50
  4. Step 4: Simplify right side
    72,701.25x = 24,604,902,740.25
  5. Step 5: Solve for x
    x = 24,604,902,740.25/72,701.25
  6. Step 6: Final answer
    x = 338,438.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.