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Finding the Third Proportional to 71,057.25 and 102,657

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Solution

The third proportional to 71,057.25 and 102,657 is: 148,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.25 : 102,657 = 102,657 : x
  2. Step 2: Convert to fraction form
    71,057.25/102,657 = 102,657/x
  3. Step 3: Cross multiply
    71,057.25x = 102,657 × 102,657
  4. Step 4: Simplify right side
    71,057.25x = 10,538,459,649
  5. Step 5: Solve for x
    x = 10,538,459,649/71,057.25
  6. Step 6: Final answer
    x = 148,309.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.