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Finding the Third Proportional to 75,732 and 161,178

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Solution

The third proportional to 75,732 and 161,178 is: 343,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732 : 161,178 = 161,178 : x
  2. Step 2: Convert to fraction form
    75,732/161,178 = 161,178/x
  3. Step 3: Cross multiply
    75,732x = 161,178 × 161,178
  4. Step 4: Simplify right side
    75,732x = 25,978,347,684
  5. Step 5: Solve for x
    x = 25,978,347,684/75,732
  6. Step 6: Final answer
    x = 343,030.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.