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Finding the Third Proportional to 48,312 and 105,876

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Solution

The third proportional to 48,312 and 105,876 is: 232,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,312 : 105,876 = 105,876 : x
  2. Step 2: Convert to fraction form
    48,312/105,876 = 105,876/x
  3. Step 3: Cross multiply
    48,312x = 105,876 × 105,876
  4. Step 4: Simplify right side
    48,312x = 11,209,727,376
  5. Step 5: Solve for x
    x = 11,209,727,376/48,312
  6. Step 6: Final answer
    x = 232,027.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.