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Finding the Third Proportional to 59,102 and 86,125

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Solution

The third proportional to 59,102 and 86,125 is: 125,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,102 : 86,125 = 86,125 : x
  2. Step 2: Convert to fraction form
    59,102/86,125 = 86,125/x
  3. Step 3: Cross multiply
    59,102x = 86,125 × 86,125
  4. Step 4: Simplify right side
    59,102x = 7,417,515,625
  5. Step 5: Solve for x
    x = 7,417,515,625/59,102
  6. Step 6: Final answer
    x = 125,503.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.