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Finding the Third Proportional to 79,722.50 and 123,434.50

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Solution

The third proportional to 79,722.50 and 123,434.50 is: 191,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,722.50 : 123,434.50 = 123,434.50 : x
  2. Step 2: Convert to fraction form
    79,722.50/123,434.50 = 123,434.50/x
  3. Step 3: Cross multiply
    79,722.50x = 123,434.50 × 123,434.50
  4. Step 4: Simplify right side
    79,722.50x = 15,236,075,790.25
  5. Step 5: Solve for x
    x = 15,236,075,790.25/79,722.50
  6. Step 6: Final answer
    x = 191,113.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.