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Finding the Third Proportional to 59,703 and 125,550

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Solution

The third proportional to 59,703 and 125,550 is: 264,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,703 : 125,550 = 125,550 : x
  2. Step 2: Convert to fraction form
    59,703/125,550 = 125,550/x
  3. Step 3: Cross multiply
    59,703x = 125,550 × 125,550
  4. Step 4: Simplify right side
    59,703x = 15,762,802,500
  5. Step 5: Solve for x
    x = 15,762,802,500/59,703
  6. Step 6: Final answer
    x = 264,020.28

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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.