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Finding the Third Proportional to 52,005.38 and 76,156.88

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Solution

The third proportional to 52,005.38 and 76,156.88 is: 111,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.38 : 76,156.88 = 76,156.88 : x
  2. Step 2: Convert to fraction form
    52,005.38/76,156.88 = 76,156.88/x
  3. Step 3: Cross multiply
    52,005.38x = 76,156.88 × 76,156.88
  4. Step 4: Simplify right side
    52,005.38x = 5,799,869,609.77
  5. Step 5: Solve for x
    x = 5,799,869,609.77/52,005.38
  6. Step 6: Final answer
    x = 111,524.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.