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Finding the Third Proportional to 49,455 and 107,117

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Solution

The third proportional to 49,455 and 107,117 is: 232,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,455 : 107,117 = 107,117 : x
  2. Step 2: Convert to fraction form
    49,455/107,117 = 107,117/x
  3. Step 3: Cross multiply
    49,455x = 107,117 × 107,117
  4. Step 4: Simplify right side
    49,455x = 11,474,051,689
  5. Step 5: Solve for x
    x = 11,474,051,689/49,455
  6. Step 6: Final answer
    x = 232,009.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.