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Finding the Third Proportional to 75,981.16 and 175,882.64

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Solution

The third proportional to 75,981.16 and 175,882.64 is: 407,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,981.16 : 175,882.64 = 175,882.64 : x
  2. Step 2: Convert to fraction form
    75,981.16/175,882.64 = 175,882.64/x
  3. Step 3: Cross multiply
    75,981.16x = 175,882.64 × 175,882.64
  4. Step 4: Simplify right side
    75,981.16x = 30,934,703,273.22
  5. Step 5: Solve for x
    x = 30,934,703,273.22/75,981.16
  6. Step 6: Final answer
    x = 407,136.47

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.