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Finding the Third Proportional to 64,223.50 and 102,280.75

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Solution

The third proportional to 64,223.50 and 102,280.75 is: 162,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,223.50 : 102,280.75 = 102,280.75 : x
  2. Step 2: Convert to fraction form
    64,223.50/102,280.75 = 102,280.75/x
  3. Step 3: Cross multiply
    64,223.50x = 102,280.75 × 102,280.75
  4. Step 4: Simplify right side
    64,223.50x = 10,461,351,820.56
  5. Step 5: Solve for x
    x = 10,461,351,820.56/64,223.50
  6. Step 6: Final answer
    x = 162,889.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.