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Finding the Third Proportional to 61,173 and 86,145

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Solution

The third proportional to 61,173 and 86,145 is: 121,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,173 : 86,145 = 86,145 : x
  2. Step 2: Convert to fraction form
    61,173/86,145 = 86,145/x
  3. Step 3: Cross multiply
    61,173x = 86,145 × 86,145
  4. Step 4: Simplify right side
    61,173x = 7,420,961,025
  5. Step 5: Solve for x
    x = 7,420,961,025/61,173
  6. Step 6: Final answer
    x = 121,311.05

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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.