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Finding the Third Proportional to 61,740 and 95,175

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Solution

The third proportional to 61,740 and 95,175 is: 146,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,740 : 95,175 = 95,175 : x
  2. Step 2: Convert to fraction form
    61,740/95,175 = 95,175/x
  3. Step 3: Cross multiply
    61,740x = 95,175 × 95,175
  4. Step 4: Simplify right side
    61,740x = 9,058,280,625
  5. Step 5: Solve for x
    x = 9,058,280,625/61,740
  6. Step 6: Final answer
    x = 146,716.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.