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Finding the Third Proportional to 48,894 and 107,138

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Solution

The third proportional to 48,894 and 107,138 is: 234,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894 : 107,138 = 107,138 : x
  2. Step 2: Convert to fraction form
    48,894/107,138 = 107,138/x
  3. Step 3: Cross multiply
    48,894x = 107,138 × 107,138
  4. Step 4: Simplify right side
    48,894x = 11,478,551,044
  5. Step 5: Solve for x
    x = 11,478,551,044/48,894
  6. Step 6: Final answer
    x = 234,764.00

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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.