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Finding the Third Proportional to 75,321 and 163,761

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Solution

The third proportional to 75,321 and 163,761 is: 356,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321 : 163,761 = 163,761 : x
  2. Step 2: Convert to fraction form
    75,321/163,761 = 163,761/x
  3. Step 3: Cross multiply
    75,321x = 163,761 × 163,761
  4. Step 4: Simplify right side
    75,321x = 26,817,665,121
  5. Step 5: Solve for x
    x = 26,817,665,121/75,321
  6. Step 6: Final answer
    x = 356,045.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.