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Finding the Third Proportional to 105,918.75 and 162,261

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Solution

The third proportional to 105,918.75 and 162,261 is: 248,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,918.75 : 162,261 = 162,261 : x
  2. Step 2: Convert to fraction form
    105,918.75/162,261 = 162,261/x
  3. Step 3: Cross multiply
    105,918.75x = 162,261 × 162,261
  4. Step 4: Simplify right side
    105,918.75x = 26,328,632,121
  5. Step 5: Solve for x
    x = 26,328,632,121/105,918.75
  6. Step 6: Final answer
    x = 248,573.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.