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Finding the Third Proportional to 51,541 and 73,507

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Solution

The third proportional to 51,541 and 73,507 is: 104,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,541 : 73,507 = 73,507 : x
  2. Step 2: Convert to fraction form
    51,541/73,507 = 73,507/x
  3. Step 3: Cross multiply
    51,541x = 73,507 × 73,507
  4. Step 4: Simplify right side
    51,541x = 5,403,279,049
  5. Step 5: Solve for x
    x = 5,403,279,049/51,541
  6. Step 6: Final answer
    x = 104,834.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.