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Finding the Third Proportional to 49,234.50 and 72,812.25

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Solution

The third proportional to 49,234.50 and 72,812.25 is: 107,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234.50 : 72,812.25 = 72,812.25 : x
  2. Step 2: Convert to fraction form
    49,234.50/72,812.25 = 72,812.25/x
  3. Step 3: Cross multiply
    49,234.50x = 72,812.25 × 72,812.25
  4. Step 4: Simplify right side
    49,234.50x = 5,301,623,750.06
  5. Step 5: Solve for x
    x = 5,301,623,750.06/49,234.50
  6. Step 6: Final answer
    x = 107,681.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.