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Finding the Third Proportional to 61,642 and 95,075

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Solution

The third proportional to 61,642 and 95,075 is: 146,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,642 : 95,075 = 95,075 : x
  2. Step 2: Convert to fraction form
    61,642/95,075 = 95,075/x
  3. Step 3: Cross multiply
    61,642x = 95,075 × 95,075
  4. Step 4: Simplify right side
    61,642x = 9,039,255,625
  5. Step 5: Solve for x
    x = 9,039,255,625/61,642
  6. Step 6: Final answer
    x = 146,641.18

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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.