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Finding the Third Proportional to 45,362 and 104,117

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Solution

The third proportional to 45,362 and 104,117 is: 238,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,362 : 104,117 = 104,117 : x
  2. Step 2: Convert to fraction form
    45,362/104,117 = 104,117/x
  3. Step 3: Cross multiply
    45,362x = 104,117 × 104,117
  4. Step 4: Simplify right side
    45,362x = 10,840,349,689
  5. Step 5: Solve for x
    x = 10,840,349,689/45,362
  6. Step 6: Final answer
    x = 238,974.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.