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Finding the Third Proportional to 59,698 and 125,132

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Solution

The third proportional to 59,698 and 125,132 is: 262,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,698 : 125,132 = 125,132 : x
  2. Step 2: Convert to fraction form
    59,698/125,132 = 125,132/x
  3. Step 3: Cross multiply
    59,698x = 125,132 × 125,132
  4. Step 4: Simplify right side
    59,698x = 15,658,017,424
  5. Step 5: Solve for x
    x = 15,658,017,424/59,698
  6. Step 6: Final answer
    x = 262,287.14

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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.