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Finding the Third Proportional to 105,432 and 163,075

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Solution

The third proportional to 105,432 and 163,075 is: 252,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432 : 163,075 = 163,075 : x
  2. Step 2: Convert to fraction form
    105,432/163,075 = 163,075/x
  3. Step 3: Cross multiply
    105,432x = 163,075 × 163,075
  4. Step 4: Simplify right side
    105,432x = 26,593,455,625
  5. Step 5: Solve for x
    x = 26,593,455,625/105,432
  6. Step 6: Final answer
    x = 252,233.25

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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.