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Finding the Third Proportional to 64,033.50 and 100,455

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Solution

The third proportional to 64,033.50 and 100,455 is: 157,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,033.50 : 100,455 = 100,455 : x
  2. Step 2: Convert to fraction form
    64,033.50/100,455 = 100,455/x
  3. Step 3: Cross multiply
    64,033.50x = 100,455 × 100,455
  4. Step 4: Simplify right side
    64,033.50x = 10,091,207,025
  5. Step 5: Solve for x
    x = 10,091,207,025/64,033.50
  6. Step 6: Final answer
    x = 157,592.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.