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Finding the Third Proportional to 125,167 and 193,692.50

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Solution

The third proportional to 125,167 and 193,692.50 is: 299,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,167 : 193,692.50 = 193,692.50 : x
  2. Step 2: Convert to fraction form
    125,167/193,692.50 = 193,692.50/x
  3. Step 3: Cross multiply
    125,167x = 193,692.50 × 193,692.50
  4. Step 4: Simplify right side
    125,167x = 37,516,784,556.25
  5. Step 5: Solve for x
    x = 37,516,784,556.25/125,167
  6. Step 6: Final answer
    x = 299,733.83

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Why These Related Problems?

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