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Finding the Third Proportional to 48,080 and 105,208

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Solution

The third proportional to 48,080 and 105,208 is: 230,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080 : 105,208 = 105,208 : x
  2. Step 2: Convert to fraction form
    48,080/105,208 = 105,208/x
  3. Step 3: Cross multiply
    48,080x = 105,208 × 105,208
  4. Step 4: Simplify right side
    48,080x = 11,068,723,264
  5. Step 5: Solve for x
    x = 11,068,723,264/48,080
  6. Step 6: Final answer
    x = 230,214.71

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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.