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Finding the Third Proportional to 126,056 and 265,882

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Solution

The third proportional to 126,056 and 265,882 is: 560,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,056 : 265,882 = 265,882 : x
  2. Step 2: Convert to fraction form
    126,056/265,882 = 265,882/x
  3. Step 3: Cross multiply
    126,056x = 265,882 × 265,882
  4. Step 4: Simplify right side
    126,056x = 70,693,237,924
  5. Step 5: Solve for x
    x = 70,693,237,924/126,056
  6. Step 6: Final answer
    x = 560,808.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.