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Finding the Third Proportional to 47,812.50 and 105,061.50

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Solution

The third proportional to 47,812.50 and 105,061.50 is: 230,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812.50 : 105,061.50 = 105,061.50 : x
  2. Step 2: Convert to fraction form
    47,812.50/105,061.50 = 105,061.50/x
  3. Step 3: Cross multiply
    47,812.50x = 105,061.50 × 105,061.50
  4. Step 4: Simplify right side
    47,812.50x = 11,037,918,782.25
  5. Step 5: Solve for x
    x = 11,037,918,782.25/47,812.50
  6. Step 6: Final answer
    x = 230,858.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.