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Finding the Third Proportional to 83,075.63 and 125,296.88

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Solution

The third proportional to 83,075.63 and 125,296.88 is: 188,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.63 : 125,296.88 = 125,296.88 : x
  2. Step 2: Convert to fraction form
    83,075.63/125,296.88 = 125,296.88/x
  3. Step 3: Cross multiply
    83,075.63x = 125,296.88 × 125,296.88
  4. Step 4: Simplify right side
    83,075.63x = 15,699,306,884.77
  5. Step 5: Solve for x
    x = 15,699,306,884.77/83,075.63
  6. Step 6: Final answer
    x = 188,976.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.