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Finding the Third Proportional to 59,726 and 125,203

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Solution

The third proportional to 59,726 and 125,203 is: 262,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,726 : 125,203 = 125,203 : x
  2. Step 2: Convert to fraction form
    59,726/125,203 = 125,203/x
  3. Step 3: Cross multiply
    59,726x = 125,203 × 125,203
  4. Step 4: Simplify right side
    59,726x = 15,675,791,209
  5. Step 5: Solve for x
    x = 15,675,791,209/59,726
  6. Step 6: Final answer
    x = 262,461.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.