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Finding the Third Proportional to 71,223.75 and 151,981.50

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Solution

The third proportional to 71,223.75 and 151,981.50 is: 324,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,223.75 : 151,981.50 = 151,981.50 : x
  2. Step 2: Convert to fraction form
    71,223.75/151,981.50 = 151,981.50/x
  3. Step 3: Cross multiply
    71,223.75x = 151,981.50 × 151,981.50
  4. Step 4: Simplify right side
    71,223.75x = 23,098,376,342.25
  5. Step 5: Solve for x
    x = 23,098,376,342.25/71,223.75
  6. Step 6: Final answer
    x = 324,307.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.