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Finding the Third Proportional to 32,201 and 71,313

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Solution

The third proportional to 32,201 and 71,313 is: 157,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201 : 71,313 = 71,313 : x
  2. Step 2: Convert to fraction form
    32,201/71,313 = 71,313/x
  3. Step 3: Cross multiply
    32,201x = 71,313 × 71,313
  4. Step 4: Simplify right side
    32,201x = 5,085,543,969
  5. Step 5: Solve for x
    x = 5,085,543,969/32,201
  6. Step 6: Final answer
    x = 157,931.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.