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Finding the Third Proportional to 53,642 and 75,031

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Solution

The third proportional to 53,642 and 75,031 is: 104,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642 : 75,031 = 75,031 : x
  2. Step 2: Convert to fraction form
    53,642/75,031 = 75,031/x
  3. Step 3: Cross multiply
    53,642x = 75,031 × 75,031
  4. Step 4: Simplify right side
    53,642x = 5,629,650,961
  5. Step 5: Solve for x
    x = 5,629,650,961/53,642
  6. Step 6: Final answer
    x = 104,948.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.