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Finding the Third Proportional to 59,788 and 125,768

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Solution

The third proportional to 59,788 and 125,768 is: 264,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,788 : 125,768 = 125,768 : x
  2. Step 2: Convert to fraction form
    59,788/125,768 = 125,768/x
  3. Step 3: Cross multiply
    59,788x = 125,768 × 125,768
  4. Step 4: Simplify right side
    59,788x = 15,817,589,824
  5. Step 5: Solve for x
    x = 15,817,589,824/59,788
  6. Step 6: Final answer
    x = 264,561.28

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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.