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Finding the Third Proportional to 76,468.50 and 164,655

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Solution

The third proportional to 76,468.50 and 164,655 is: 354,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468.50 : 164,655 = 164,655 : x
  2. Step 2: Convert to fraction form
    76,468.50/164,655 = 164,655/x
  3. Step 3: Cross multiply
    76,468.50x = 164,655 × 164,655
  4. Step 4: Simplify right side
    76,468.50x = 27,111,269,025
  5. Step 5: Solve for x
    x = 27,111,269,025/76,468.50
  6. Step 6: Final answer
    x = 354,541.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.