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Finding the Third Proportional to 75,242.25 and 162,243

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Solution

The third proportional to 75,242.25 and 162,243 is: 349,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.25 : 162,243 = 162,243 : x
  2. Step 2: Convert to fraction form
    75,242.25/162,243 = 162,243/x
  3. Step 3: Cross multiply
    75,242.25x = 162,243 × 162,243
  4. Step 4: Simplify right side
    75,242.25x = 26,322,791,049
  5. Step 5: Solve for x
    x = 26,322,791,049/75,242.25
  6. Step 6: Final answer
    x = 349,840.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.