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Finding the Third Proportional to 54,156 and 83,692.50

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Solution

The third proportional to 54,156 and 83,692.50 is: 129,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,156 : 83,692.50 = 83,692.50 : x
  2. Step 2: Convert to fraction form
    54,156/83,692.50 = 83,692.50/x
  3. Step 3: Cross multiply
    54,156x = 83,692.50 × 83,692.50
  4. Step 4: Simplify right side
    54,156x = 7,004,434,556.25
  5. Step 5: Solve for x
    x = 7,004,434,556.25/54,156
  6. Step 6: Final answer
    x = 129,338.11

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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.