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Finding the Third Proportional to 59,209 and 126,862

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Solution

The third proportional to 59,209 and 126,862 is: 271,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,209 : 126,862 = 126,862 : x
  2. Step 2: Convert to fraction form
    59,209/126,862 = 126,862/x
  3. Step 3: Cross multiply
    59,209x = 126,862 × 126,862
  4. Step 4: Simplify right side
    59,209x = 16,093,967,044
  5. Step 5: Solve for x
    x = 16,093,967,044/59,209
  6. Step 6: Final answer
    x = 271,816.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.