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Finding the Third Proportional to 75,964.08 and 162,692.30

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Solution

The third proportional to 75,964.08 and 162,692.30 is: 348,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,964.08 : 162,692.30 = 162,692.30 : x
  2. Step 2: Convert to fraction form
    75,964.08/162,692.30 = 162,692.30/x
  3. Step 3: Cross multiply
    75,964.08x = 162,692.30 × 162,692.30
  4. Step 4: Simplify right side
    75,964.08x = 26,468,783,462.46
  5. Step 5: Solve for x
    x = 26,468,783,462.46/75,964.08
  6. Step 6: Final answer
    x = 348,438.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.