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Finding the Third Proportional to 74,692.50 and 112,119

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Solution

The third proportional to 74,692.50 and 112,119 is: 168,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692.50 : 112,119 = 112,119 : x
  2. Step 2: Convert to fraction form
    74,692.50/112,119 = 112,119/x
  3. Step 3: Cross multiply
    74,692.50x = 112,119 × 112,119
  4. Step 4: Simplify right side
    74,692.50x = 12,570,670,161
  5. Step 5: Solve for x
    x = 12,570,670,161/74,692.50
  6. Step 6: Final answer
    x = 168,298.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.