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Finding the Third Proportional to 83,143 and 126,790.25

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Solution

The third proportional to 83,143 and 126,790.25 is: 193,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143 : 126,790.25 = 126,790.25 : x
  2. Step 2: Convert to fraction form
    83,143/126,790.25 = 126,790.25/x
  3. Step 3: Cross multiply
    83,143x = 126,790.25 × 126,790.25
  4. Step 4: Simplify right side
    83,143x = 16,075,767,495.06
  5. Step 5: Solve for x
    x = 16,075,767,495.06/83,143
  6. Step 6: Final answer
    x = 193,350.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.