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Finding the Third Proportional to 105,414 and 163,047.75

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Solution

The third proportional to 105,414 and 163,047.75 is: 252,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,414 : 163,047.75 = 163,047.75 : x
  2. Step 2: Convert to fraction form
    105,414/163,047.75 = 163,047.75/x
  3. Step 3: Cross multiply
    105,414x = 163,047.75 × 163,047.75
  4. Step 4: Simplify right side
    105,414x = 26,584,568,780.06
  5. Step 5: Solve for x
    x = 26,584,568,780.06/105,414
  6. Step 6: Final answer
    x = 252,192.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.