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Finding the Third Proportional to 73,916 and 141,028

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Solution

The third proportional to 73,916 and 141,028 is: 269,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,916 : 141,028 = 141,028 : x
  2. Step 2: Convert to fraction form
    73,916/141,028 = 141,028/x
  3. Step 3: Cross multiply
    73,916x = 141,028 × 141,028
  4. Step 4: Simplify right side
    73,916x = 19,888,896,784
  5. Step 5: Solve for x
    x = 19,888,896,784/73,916
  6. Step 6: Final answer
    x = 269,074.31

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.