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Finding the Third Proportional to 55,346 and 83,075

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Solution

The third proportional to 55,346 and 83,075 is: 124,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,346 : 83,075 = 83,075 : x
  2. Step 2: Convert to fraction form
    55,346/83,075 = 83,075/x
  3. Step 3: Cross multiply
    55,346x = 83,075 × 83,075
  4. Step 4: Simplify right side
    55,346x = 6,901,455,625
  5. Step 5: Solve for x
    x = 6,901,455,625/55,346
  6. Step 6: Final answer
    x = 124,696.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.