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Finding the Third Proportional to 75,482 and 161,534

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Solution

The third proportional to 75,482 and 161,534 is: 345,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,482 : 161,534 = 161,534 : x
  2. Step 2: Convert to fraction form
    75,482/161,534 = 161,534/x
  3. Step 3: Cross multiply
    75,482x = 161,534 × 161,534
  4. Step 4: Simplify right side
    75,482x = 26,093,233,156
  5. Step 5: Solve for x
    x = 26,093,233,156/75,482
  6. Step 6: Final answer
    x = 345,688.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.