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Finding the Third Proportional to 71,321 and 110,057

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Solution

The third proportional to 71,321 and 110,057 is: 169,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321 : 110,057 = 110,057 : x
  2. Step 2: Convert to fraction form
    71,321/110,057 = 110,057/x
  3. Step 3: Cross multiply
    71,321x = 110,057 × 110,057
  4. Step 4: Simplify right side
    71,321x = 12,112,543,249
  5. Step 5: Solve for x
    x = 12,112,543,249/71,321
  6. Step 6: Final answer
    x = 169,831.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.