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Finding the Third Proportional to 63,532.50 and 102,168.75

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Solution

The third proportional to 63,532.50 and 102,168.75 is: 164,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,532.50 : 102,168.75 = 102,168.75 : x
  2. Step 2: Convert to fraction form
    63,532.50/102,168.75 = 102,168.75/x
  3. Step 3: Cross multiply
    63,532.50x = 102,168.75 × 102,168.75
  4. Step 4: Simplify right side
    63,532.50x = 10,438,453,476.56
  5. Step 5: Solve for x
    x = 10,438,453,476.56/63,532.50
  6. Step 6: Final answer
    x = 164,301.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.