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Finding the Third Proportional to 48,630 and 76,185

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Solution

The third proportional to 48,630 and 76,185 is: 119,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,630 : 76,185 = 76,185 : x
  2. Step 2: Convert to fraction form
    48,630/76,185 = 76,185/x
  3. Step 3: Cross multiply
    48,630x = 76,185 × 76,185
  4. Step 4: Simplify right side
    48,630x = 5,804,154,225
  5. Step 5: Solve for x
    x = 5,804,154,225/48,630
  6. Step 6: Final answer
    x = 119,353.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.