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Finding the Third Proportional to 63,541 and 147,731

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Solution

The third proportional to 63,541 and 147,731 is: 343,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,541 : 147,731 = 147,731 : x
  2. Step 2: Convert to fraction form
    63,541/147,731 = 147,731/x
  3. Step 3: Cross multiply
    63,541x = 147,731 × 147,731
  4. Step 4: Simplify right side
    63,541x = 21,824,448,361
  5. Step 5: Solve for x
    x = 21,824,448,361/63,541
  6. Step 6: Final answer
    x = 343,470.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.