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Finding the Third Proportional to 73,922 and 131,428

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Solution

The third proportional to 73,922 and 131,428 is: 233,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922 : 131,428 = 131,428 : x
  2. Step 2: Convert to fraction form
    73,922/131,428 = 131,428/x
  3. Step 3: Cross multiply
    73,922x = 131,428 × 131,428
  4. Step 4: Simplify right side
    73,922x = 17,273,319,184
  5. Step 5: Solve for x
    x = 17,273,319,184/73,922
  6. Step 6: Final answer
    x = 233,669.53

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.