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Finding the Third Proportional to 75,577 and 156,050

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Solution

The third proportional to 75,577 and 156,050 is: 322,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,577 : 156,050 = 156,050 : x
  2. Step 2: Convert to fraction form
    75,577/156,050 = 156,050/x
  3. Step 3: Cross multiply
    75,577x = 156,050 × 156,050
  4. Step 4: Simplify right side
    75,577x = 24,351,602,500
  5. Step 5: Solve for x
    x = 24,351,602,500/75,577
  6. Step 6: Final answer
    x = 322,209.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.