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Finding the Third Proportional to 72,805.50 and 155,734.50

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Solution

The third proportional to 72,805.50 and 155,734.50 is: 333,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.50 : 155,734.50 = 155,734.50 : x
  2. Step 2: Convert to fraction form
    72,805.50/155,734.50 = 155,734.50/x
  3. Step 3: Cross multiply
    72,805.50x = 155,734.50 × 155,734.50
  4. Step 4: Simplify right side
    72,805.50x = 24,253,234,490.25
  5. Step 5: Solve for x
    x = 24,253,234,490.25/72,805.50
  6. Step 6: Final answer
    x = 333,123.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.