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Finding the Third Proportional to 61,203 and 86,185

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Solution

The third proportional to 61,203 and 86,185 is: 121,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,203 : 86,185 = 86,185 : x
  2. Step 2: Convert to fraction form
    61,203/86,185 = 86,185/x
  3. Step 3: Cross multiply
    61,203x = 86,185 × 86,185
  4. Step 4: Simplify right side
    61,203x = 7,427,854,225
  5. Step 5: Solve for x
    x = 7,427,854,225/61,203
  6. Step 6: Final answer
    x = 121,364.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.