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Finding the Third Proportional to 105,732 and 163,965.94

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Solution

The third proportional to 105,732 and 163,965.94 is: 254,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732 : 163,965.94 = 163,965.94 : x
  2. Step 2: Convert to fraction form
    105,732/163,965.94 = 163,965.94/x
  3. Step 3: Cross multiply
    105,732x = 163,965.94 × 163,965.94
  4. Step 4: Simplify right side
    105,732x = 26,884,828,660.25
  5. Step 5: Solve for x
    x = 26,884,828,660.25/105,732
  6. Step 6: Final answer
    x = 254,273.34

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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.