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Finding the Third Proportional to 97,692.50 and 146,129

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Solution

The third proportional to 97,692.50 and 146,129 is: 218,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692.50 : 146,129 = 146,129 : x
  2. Step 2: Convert to fraction form
    97,692.50/146,129 = 146,129/x
  3. Step 3: Cross multiply
    97,692.50x = 146,129 × 146,129
  4. Step 4: Simplify right side
    97,692.50x = 21,353,684,641
  5. Step 5: Solve for x
    x = 21,353,684,641/97,692.50
  6. Step 6: Final answer
    x = 218,580.59

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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.