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Finding the Third Proportional to 75,699 and 108,627

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Solution

The third proportional to 75,699 and 108,627 is: 155,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699 : 108,627 = 108,627 : x
  2. Step 2: Convert to fraction form
    75,699/108,627 = 108,627/x
  3. Step 3: Cross multiply
    75,699x = 108,627 × 108,627
  4. Step 4: Simplify right side
    75,699x = 11,799,825,129
  5. Step 5: Solve for x
    x = 11,799,825,129/75,699
  6. Step 6: Final answer
    x = 155,878.22

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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.